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<h1 class="articleHeader__title">稳定的网络FitzHugh-Nagumo振荡器通过一个基于电容器的RC滤波器反馈技术</h1> <div class="articleHeader__authors"> <span class="articleHeader__authors_author">埃琳娜Adomaitienė,<sup>1</sup></span> <span class="articleHeader__authors_author">Skaidra Bumelienė,<sup>1</sup></span> <span class="articleHeader__authors_author">Gytis Mykolaitis,<sup>1、2</sup></span> <span class="articleHeader__authors_author">和<strong>Arūnas Tamaševičius</strong><a href="//www.newsama.com/cdn-cgi/l/email-protection" aria-label="Mail Option"><span role="img" class="anticon"> <svg version="1.0" xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="0 0 1401 1101"> <path fill="#6ba439" d="M132.5 2.1C101.4 6 71.1 20.5 48.3 42.4c-22.7 21.7-37.5 48.3-44.6 80l-2.2 10.1v837l2.2 10.1c6.7 30 19.3 53.9 39.8 75.3 23.3 24.3 56.4 40.9 90 45 12.8 1.6 1122.2 1.6 1135 0 38.9-4.8 75.9-25.6 100-56.4 15-19.3 24.2-39 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d="M86.3 186.2H70.9V79.1h15.4v107.1zm22.6-107.1h41.6c39.6 0 57 28.3 57 53.6 0 27.5-21.5 53.6-56.8 53.6h-41.8V79.1zm15.4 93.3h24.5c34.9 0 42.9-26.5 42.9-39.7C191.7 111.2 178 93 148 93h-23.7v79.4zM88.7 56.8c0 5.5-4.5 10.1-10.1 10.1s-10.1-4.6-10.1-10.1c0-5.6 4.5-10.1 10.1-10.1s10.1 4.6 10.1 10.1z" fill="#fff"></path> </svg></span></a><sup>1</sup></span> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示更多</button> </div> <div class="articleHeader__academicEditor"> <strong>学术编辑器:</strong> <span>Viet-Thanh范教授</span> </div> <div class="articleHeader__timeline"> <div class="articleHeader__timeline_item "> <strong>收到了</strong> <span>2017年5月19日</span> </div> <div class="articleHeader__timeline_item "> <strong>修改后的</strong> <span>2017年7月24日</span> </div> <div class="articleHeader__timeline_item "> <strong>接受</strong> <span>2017年8月3日</span> </div> <div class="articleHeader__timeline_item articleHeader__timeline_item_sticky"> <strong>发表</strong> <span>2017年9月05</span> </div> </div> </div> <div class="articleBody"> <div class="xml-content"> <h4 class="header" id="abstract">文摘</h4> <p>我们建议采用一阶RC滤波器稳定,基于一个电容器,不稳定不动点的控制振荡器的数组。一个电容器足以稳定整个数组,如果振荡器耦合不够强烈。组成的一个数组,24 - 30平均场耦合FitzHugh-Nagumo (FHN)类型不对称振子,被认为是一个案例研究。调查已经进行使用分析,数值和实验方法。分析研究是基于平均场方法,特征方程的特征值,使用煤和Routh-Hurwitz稳定标准赫维茨矩阵来计算耦合系数的阈值。实验已经进行了硬件电子模拟、模仿FHN振子的动态数组的行为。</p> <span class="end-abs"></span> <h4 id="introduction">1。介绍</h4> <p>大量的自适应控制技术已经发展到目前为止稳定不稳定不动点(UFP)的动力系统。这些包括导数控制(<a href="#B1">1</a>- - - - - -<a href="#B3">3</a>),跟踪滤波器技术,基于一阶RC低通和高通滤波器(<a href="#B4">4</a>- - - - - -<a href="#B9">9</a>],陷波滤波器技术,采用两个二阶维恩电桥过滤器不相称的共振频率(<a href="#B10">10</a>]。延迟反馈技术,尽管最初设计控制混乱,也就是说,稳定不稳定周期轨道(<a href="#B11">11</a>,<a href="#B12">12</a>),在适当的参数设置也可以稳定UFP [<a href="#B5">5</a>,<a href="#B6">6</a>,<a href="#B13">13</a>- - - - - -<a href="#B19">19</a>]。</p> <p>上述技术可以稳定不稳定节点(UFP偶数的真正积极的特征值<svg height="12.5794pt" id="M1" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 10.9454 12.5794" width="10.9454pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M529 97L508 118C475 75 449 58 438 58C428 58 421 66 415 104C393 234 374 403 364 496C345 670 307 712 254 712C220 712 174 691 153 669L161 645C176 653 194 658 206 658C237 658 261 640 278 562C287 522 290 483 293 434C223 269 110 105 23 9L32 -12C59 -6 85 0 108 7C152 64 251 252 300 366C307 297 315 221 337 82C346 24 363 -12 393 -12C425 -12 475 13 529 97Z" id="g113-233"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.761,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z" id="g50-106"></path> </g> </svg>,例如,<span class="inline_break"> <svg height="13.639pt" id="M2" style="vertical-align:-4.35067pt" version="1.1" viewbox="-0.0498162 -9.28833 30.583 13.639" width="30.583pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.761,3.132)"> <path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,12.193,3.132)"> <path d="M98 134C72 134 46 117 46 90C46 73 55 65 60 64C95 55 124 32 124 -4C124 -42 95 -68 44 -89L57 -123C122 -104 194 -60 194 22C194 94 136 134 98 134Z" id="g50-45"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,14.349,3.132)"> <path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z" id="g50-51"></path> </g> <g transform="matrix(.013,0,0,-0.013,22.952,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z" id="g117-92"></path> </g> </svg><span class="irelop"></span> <svg height="13.639pt" style="vertical-align:-4.35067pt" version="1.1" viewbox="34.1651838 -9.28833 6.24 13.639" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,34.215,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z" id="g113-49"></path> </g> </svg></span>和特征值的虚部,即,<span class="inline_break"> <svg height="13.639pt" id="M3" style="vertical-align:-4.35067pt" version="1.1" viewbox="-0.0498162 -9.28833 47.634 13.639" width="47.634pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z" id="g121-71"></path> </g> <g transform="matrix(.013,0,0,-0.013,4.224,0)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z" id="g121-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,17.05,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,24.811,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,29.243,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,31.4,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.003,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path> </g> </svg><span class="irelop"></span> <svg height="13.639pt" style="vertical-align:-4.35067pt" version="1.1" viewbox="51.216183799999996 -9.28833 6.24 13.639" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,51.266,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>)和不稳定螺旋(UFP偶数的复杂特征值与正真实的部分,例如,<span class="inline_break"> <svg height="13.639pt" id="M4" style="vertical-align:-4.35067pt" version="1.1" viewbox="-0.0498162 -9.28833 46.53 13.639" width="46.53pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g 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width="23.97pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.761,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.339,0)"> <use xlink:href="#g117-92"></use> </g> </svg><span class="irelop"></span> <svg height="12.4698pt" style="vertical-align:-3.18147pt" version="1.1" viewbox="27.5521838 -9.28833 6.24 12.4698" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.602,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>,<span class="inline_break"> <svg height="12.4698pt" id="M6" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 23.97 12.4698" width="23.97pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.761,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.339,0)"> <path d="M512 -3V55L134 254V256L512 456V514L75 281V230L512 -3Z" id="g117-91"></path> </g> </svg><span class="irelop"></span> <svg height="12.4698pt" style="vertical-align:-3.18147pt" version="1.1" viewbox="27.5521838 -9.28833 6.24 12.4698" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.602,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>。解决问题的奇数限制,Pyragas和合作者提出使用一阶滤波器不稳定(<a href="#B20">20.</a>,<a href="#B21">21</a>]。这是一个优雅的想法打击一个不稳定的另一个不稳定。的方法演示了各种数学模型和实验系统(<a href="#B20">20.</a>- - - - - -<a href="#B23">23</a>]。后一个不稳定的过滤控制开发稳定马鞍类UFP保守和弱阻尼系统(<a href="#B24">24</a>- - - - - -<a href="#B26">26</a>]也延迟的影响下(惯性)反馈回路的控制器。</p> <p>一阶RC滤波器,基于一个电容器,以及其他方法为稳定UFP已经开发应用于单个振子。问题因此出现:一个电容器稳定的振荡器网络吗?答案取决于网络的属性。显然,如果数组中的振荡器是分开或弱耦合、单个电容器是不足以控制整个网络。每个人应向振荡器提供一个单独的控制器。这样的应用程序解决方案是不切实际的。然而,当振子耦合足够强烈,可以预计,可以稳定整个网络使用一个控制器。</p> <p>在本文中,我们演示稳定网络的可能性分析,数值和实验。</p> <h4 id="mathematical-model-and-its-analysis">2。数学模型及其分析</h4> <p>具体我们考虑FitzHugh-Nagumo数组(FHN)振荡器<a href="#B27">27</a>),在文学也被称为Bonhoeffer-van der波尔(BVP)振荡器<a href="#B28">28</a>,<a href="#B29">29日</a>]。FHN(或BVP)振荡器是一个简化版的Hodgkin-Huxley (HH)振荡器,模仿飙升神经元的动力学(<a href="#B30">30.</a>]。一组FHN振子所描述的<span class="equation_break" id="EEq1"><span class="left_break" id="L7"></span><span class="middle_break"><span class="center_break" id="M7"> <svg height="36.6772pt" id="M7-1" version="1.1" viewbox="0 0 133.404 36.6772" width="133.404pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B7-1"> <g transform="matrix(.013,0,0,-0.013,7.26,10.371)"> <path d="M-161 571C-161 600 -183 623 -212 623C-238 623 -262 600 -262 571C-262 544 -238 520 -212 520C-183 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25V0H311Z" id="g190-213"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.9,9.26)"> <path d="M275 271C275 451 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 269V271Z" id="g190-42"></path> </g> </g> </svg></span></span>在这里<svg height="12.7178pt" id="M8" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 27.7913 12.7178" width="27.7913pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.352,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z" id="g113-41"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.85,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.052,3.132)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,23.108,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z" id="g113-42"></path> </g> </svg>是一个非线性函数的近似three-segment分段线性函数(<a href="#B31">31日</a>]<span class="equation_break" id="EEq2"><span class="left_break" id="L9"></span><span class="middle_break"><span class="center_break" id="M9"> <svg height="57.0376pt" id="M9-1" version="1.1" viewbox="0 0 30.825 57.0376" width="30.825pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B9-1"> <g transform="matrix(.013,0,0,-0.013,0,31.846)"> <use xlink:href="#g113-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.53,31.846)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.56,31.846)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,22.76,34.978)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.82,31.846)"> <use xlink:href="#g119-6"></use> </g> </g> </svg> <svg height="57.0376pt" id="M9-2" version="1.1" viewbox="0 0 152.984 57.0376" width="152.984pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B9-2"> <g transform="matrix(.013,0,0,-0.013,0,31.846)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.26,17.427)"> <path d="M660 1109V1150C557 1150 406 1122 406 886V0H513V923C513 1011 529 1089 660 1109Z" id="g119-47"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.26,21.212)"> <path d="M513 0V330H406V0H513Z" id="g119-55"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.26,36.348)"> <path d="M513 0V380C513 490 473 586 374 614V618C474 644 513 740 513 848V1200H406V816C406 746 399 654 186 642V590C399 578 406 486 406 416V0H513Z" id="g119-63"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.26,40.132)"> <use xlink:href="#g119-55"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.26,54.655)"> <path d="M660 33V74C529 94 513 176 513 268V1153H406V289C406 57 557 33 660 33Z" id="g119-71"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.99,11.011)"> <path d="M530 686C535 705 530 712 521 712C504 712 448 684 359 674L358 648H393C437 648 439 646 429 593L400 435C372 447 345 448 332 448C286 448 194 414 144 373C68 311 23 203 23 111C23 26 57 -12 91 -12C120 -12 147 3 188 29C227 54 290 102 341 170H343L322 71C308 6 320 -12 341 -12C373 -12 442 27 501 96L485 120C455 91 422 67 408 67C401 67 401 76 404 91C440 294 479 473 530 686ZM387 375L355 241C326 187 200 53 142 53C126 53 109 73 109 130C109 217 154 337 218 381C240 396 265 404 297 404S372 390 387 375Z" id="g113-101"></path> </g> <g transform="matrix(.013,0,0,-0.013,31.38,11.011)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.4,11.011)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,43.61,14.142)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.57,11.011)"> <path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z" id="g117-36"></path> </g> <g transform="matrix(.013,0,0,-0.013,60.1,11.011)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,66.34,11.011)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.63,11.011)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.86,11.011)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,97.06,14.142)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,103.75,11.011)"> <use xlink:href="#g117-91"></use> </g> <g transform="matrix(.013,0,0,-0.013,115.01,11.011)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,122.64,11.011)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,128.88,11.011)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.99,31.65)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.23,31.65)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.86,31.65)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,97.49,31.65)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,107.36,31.65)"> <path d="M531 71V127L115 310L531 494V550L57 335V285L531 71ZM531 -40V10H57V-40H531Z" id="g117-93"></path> </g> <g transform="matrix(.013,0,0,-0.013,118.63,31.65)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,125.83,34.782)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,132.51,31.65)"> <use xlink:href="#g117-93"></use> </g> <g transform="matrix(.013,0,0,-0.013,143.78,31.65)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,150.02,31.65)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.99,52.29)"> <path d="M546 430L539 434C529 434 505 438 495 440C473 444 450 448 430 448C352 448 265 412 213 366C145 306 96 203 96 103C96 22 135 -12 160 -12C190 -12 238 14 262 32C310 68 368 120 411 184H413C403 117 396 75 384 21C353 -118 325 -158 291 -184C270 -200 241 -205 208 -205C133 -205 90 -164 74 -110C70 -98 58 -100 49 -107C34 -119 23 -140 23 -155C23 -190 74 -261 166 -261C219 -261 280 -233 314 -208C383 -157 446 -79 470 81C491 223 529 388 546 430ZM456 386C452 357 433 283 420 252C402 216 366 174 325 129C288 88 239 56 212 56C192 56 182 77 182 120C182 165 199 242 226 292C256 348 281 377 311 389C327 395 353 402 375 402C408 402 436 394 456 386Z" id="g113-104"></path> </g> <g transform="matrix(.013,0,0,-0.013,31.56,52.29)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.59,52.29)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,43.79,55.422)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.75,52.29)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,60.29,52.29)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,66.53,52.29)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.81,52.29)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.86,52.29)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,97.06,55.422)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,103.75,52.29)"> <use xlink:href="#g117-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,115.01,52.29)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,121.25,52.29)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg class="alt_equation" height="80.462pt" id="I9" version="1.1" viewbox="0 0 167.97 80.462" width="167.97pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 -21.25)" xlink:href="#B9-1"></use> <use transform="matrix(1 0 0 1 13.59 23.42)" xlink:href="#B9-2"></use> </svg></span></span><span class="right_break" id="R9"> <svg class="label" height="11.44pt" id="M9-3" version="1.1" viewbox="0 0 15.038 11.44" width="15.038pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B9-3"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M411 139C381 76 368 73 314 73H129L267 224C351 317 400 380 400 469C400 574 322 635 233 635C176 635 128 610 98 576L40 495L63 476C89 515 130 568 198 568C274 568 316 519 316 436C316 347 251 264 191 192C142 134 85 76 30 21V0H403C415 45 425 89 438 131L411 139Z" id="g190-243"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.54,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="80.462pt" id="IL9" version="1.1" viewbox="0 0 15.1 80.462" width="15.1pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 34.3)" xlink:href="#B9-3"></use> </svg></span></span>在(<a href="#EEq2">2</a>)<span class="inline_break"> <svg height="12.7178pt" id="M10" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 21.962 12.7178" width="21.962pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.847,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230ZM780 230V281L343 514V456L721 256V254L343 55V-3L780 230Z" id="g117-124"></path> </g> </svg><span class="irelop"></span> <svg height="12.7178pt" style="vertical-align:-3.42947pt" version="1.1" viewbox="25.544183800000003 -9.28833 7.397 12.7178" width="7.397pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,25.594,0)"> <use xlink:href="#g113-104"></use> </g> </svg></span>。因此,<svg height="12.7178pt" id="M11" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 24.8009 12.7178" width="24.8009pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.352,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.85,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.117,0)"> <use xlink:href="#g113-42"></use> </g> </svg>是一个本质上的非对称函数,与普通FHN或者BVP立方函数<svg height="11.7978pt" id="M12" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 12.3403 11.7978" width="12.3403pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.267,-5.741)"> <path d="M290 377C321 398 342 415 358 430C378 450 389 473 389 502C389 578 329 635 238 635H237C184 635 137 610 109 578L64 515L88 493C112 529 154 573 208 573S303 542 303 482C303 409 233 370 141 341L149 308C165 313 190 319 215 319C272 319 341 283 341 193C342 98 292 43 222 43C163 43 122 72 96 94C88 101 79 100 70 94C61 87 47 73 46 60C44 47 48 37 62 23C76 10 118 -12 165 -12C238 -12 430 62 430 223C430 297 379 359 290 375V377Z" id="g50-52"></path> </g> </svg>(<a href="#B27">27</a>- - - - - -<a href="#B29">29日</a>]。偏差参数<svg height="9.25202pt" id="M13" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 7.34395 9.25202" width="7.34395pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-100"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.173,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg>在(<a href="#EEq1">1</a>)为每个单独的振荡器是故意将不同从而使他们不恒等的单位。</p> <p>一组平均场耦合星耦合振子画在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig1/" target="_blank">1</a>。</p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-3a9a4a0d5abb920f55fd1af4d2e0243f"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.001.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-3a9a4a0d5abb920f55fd1af4d2e0243f partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.001_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-3a9a4a0d5abb920f55fd1af4d2e0243f partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</span> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2017/4324879/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 网络的平均场耦合振子,<span class="inline_break"> <svg height="11.927pt" id="M14" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 16.971 11.927" width="16.971pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M699 369C699 549 575 666 407 666C186 666 23 488 23 278C23 101 145 -16 312 -16C535 -16 699 153 699 369ZM600 373C600 210 500 19 321 19C186 19 120 129 120 272C120 450 232 631 399 631C541 631 600 522 600 373Z" id="g113-80"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.061,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.007,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="19.1011838 -8.6359 16.971 11.927" width="16.971pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,19.151,0)"> <use xlink:href="#g113-80"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.212,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.158,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="38.2511838 -8.6359 18.427 11.927" width="18.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,38.301,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.444,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,48.587,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,53.764,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="58.857183799999994 -8.6359 17.142 11.927" width="17.142pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,58.907,0)"> <use xlink:href="#g113-80"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,67.968,3.132)"> <path d="M870 650H622L613 619C694 615 708 606 708 559C708 531 702 477 686 396L636 136H633L281 650H127L120 619C180 616 198 611 212 592C227 572 232 558 220 503L166 254C148 169 139 131 126 89C112 43 85 35 33 32L24 0H280L286 32C208 37 189 44 189 93C189 124 198 179 212 250L267 526H271L622 -8H655L732 396C747 477 762 532 770 556C785 600 798 616 862 619L870 650Z" id="g50-79"></path> </g> </svg></span>。<span class="inline_break"> <svg height="11.927pt" id="M15" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 18.154 11.927" width="18.154pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z" id="g113-66"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,10.244,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.19,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="20.2841838 -8.6359 18.154 11.927" width="18.154pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,20.334,0)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,30.578,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.524,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="40.6171838 -8.6359 18.427 11.927" width="18.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,40.667,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.81,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,50.953,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.13,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="61.2231838 -8.6359 18.325 11.927" width="18.325pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,61.273,0)"> <use xlink:href="#g113-66"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.517,3.132)"> <use xlink:href="#g50-79"></use> </g> </svg></span>输出相应的振子和吗<svg height="10.3089pt" id="M16" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -10.1025 14.3602 10.3089" width="14.3602pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z" id="g113-83"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.151,-5.741)"> <path d="M486 158C486 177 478 202 466 220C413 228 386 236 336 262C386 288 413 297 466 304C478 323 486 347 485 366C470 376 444 381 422 380C389 338 368 319 321 288C323 345 329 372 349 422C339 442 322 461 305 470C289 461 271 442 262 422C281 372 287 345 290 288C243 319 222 338 189 380C167 381 142 376 125 366C125 347 133 322 145 304C198 296 225 288 275 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<g transform="matrix(.0091,0,0,-0.0091,7.2,13.725)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.92,10.593)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.18,10.593)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.76,10.593)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,38.96,13.725)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.92,10.593)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.46,10.593)"> <use xlink:href="#g113-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,65.99,10.593)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.01,10.593)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,78.22,13.725)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,81.27,10.593)"> <use 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330C217 299 188 273 155 237H153L257 680C262 700 263 712 253 712C240 712 183 684 97 674L92 648L126 647C166 646 172 645 163 606L23 -6L29 -12C51 -5 77 2 107 8C115 62 130 128 142 180C153 193 179 220 204 241C231 170 259 106 288 54C317 0 336 -12 358 -12C381 -12 423 2 477 80L460 100C434 74 408 54 398 54C385 54 374 65 351 107C326 154 282 241 263 299C296 332 351 377 403 377C424 377 436 372 445 368C449 366 456 368 462 375C472 386 480 402 480 416Z" id="g113-108"></path> </g> <g transform="matrix(.013,0,0,-0.013,19.25,10.593)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.28,10.835)"> <path d="M360 -163L167 270L360 703H298L106 273V267L298 -163H360Z" id="g113-61"></path> </g> <g transform="matrix(.013,0,0,-0.013,29.67,10.593)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.93,10.835)"> <path d="M307 267V273L115 703H53L246 270L53 -163H115L307 267Z" id="g113-63"></path> </g> <g transform="matrix(.013,0,0,-0.013,45.25,10.593)"> <use 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xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.44,32.713)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.68,32.713)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.82,32.713)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.12,32.713)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.26,32.713)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.41,32.713)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.55,32.713)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.73,32.713)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,61.87,32.713)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,72.78,32.713)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R18"> <svg class="label" height="11.44pt" id="M18-5" version="1.1" viewbox="0 0 14.868 11.44" width="14.868pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B18-5"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M269 381C298 400 325 421 340 436C360 455 370 476 370 504C370 579 313 635 223 635H222C170 635 123 610 95 579L52 516L72 497C95 533 136 577 193 577C245 577 286 546 286 482C286 408 218 369 127 339L133 314C149 319 174 325 197 325C254 325 324 285 324 192C325 83 266 39 201 39C143 39 103 68 78 91C70 98 62 97 54 91C45 84 33 71 32 58C30 46 34 35 48 22C61 10 102 -12 148 -12C216 -12 410 57 410 225C410 298 357 362 269 379V381Z" id="g190-232"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.37,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>在这里<svg height="11.439pt" id="M19" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 18.1721 11.439" width="18.1721pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> </svg>变量的平均值吗<svg height="9.25202pt" id="M20" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 10.3843 9.25202" width="10.3843pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg><span class="equation_break" id="eq4"><span class="left_break" id="L21"></span><span class="middle_break"><span 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xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B21-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M465 179V225H369V632H330C227 497 124 346 29 205V179H289V107C289 37 284 33 198 26V0H454V26C374 33 369 37 369 107V179H465ZM289 225H92C156 335 222 430 287 520H289V225Z" id="g190-166"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.96,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span></p> <p>当一个RC跟踪滤波器应用于Ctrl节点(图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig1/" target="_blank">1</a>)网络的总体系统变成了(<span class="inline_break"> <svg height="8.98583pt" id="M22" style="vertical-align:-0.3499308pt" version="1.1" viewbox="-0.0498162 -8.6359 27.687 8.98583" width="27.687pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.24,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.056,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="8.98583pt" style="vertical-align:-0.3499308pt" version="1.1" viewbox="30.5421838 -8.6359 6.24 8.98583" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,30.592,0)"> <use xlink:href="#g113-50"></use> </g> </svg></span>维系统<span class="equation_break" id="EEq4"><span class="left_break" id="L23"></span><span class="middle_break"><span class="center_break" id="M23"> <svg height="59.2606pt" id="M23-1" version="1.1" viewbox="0 0 129.918 59.2606" width="129.918pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B23-1"> <g transform="matrix(.013,0,0,-0.013,7.26,10.371)"> <use xlink:href="#g117-11"></use> </g> <g 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xlink:href="#g117-11"></use> </g> <g transform="matrix(.013,0,0,-0.013,0,53.732)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.13,53.732)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.39,53.732)"> <path d="M615 290C615 392 563 448 529 448C511 448 491 441 484 434L483 425C518 400 546 349 546 273C546 158 504 46 417 46C381 46 356 77 356 142C356 184 380 293 392 334L387 340L307 323C305 288 296 228 287 188C265 94 221 52 180 52C144 52 112 89 112 171C112 278 164 372 241 430L226 454C106 394 23 288 23 155C23 40 79 -12 139 -12C184 -12 245 32 285 85C292 31 322 -12 376 -12C423 -12 470 18 501 45C570 104 615 184 615 290Z" id="g113-246"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,29.36,56.863)"> <path d="M620 667C620 684 593 710 552 710C515 710 459 687 409 634C360 582 334 506 320 433H247L215 400L220 388H310L259 80C224 -129 199 -161 185 -174C175 -183 160 -192 141 -192C123 -192 90 -181 75 -165C69 -158 64 -156 54 -164C39 -178 24 -195 24 -208C24 -231 61 -257 94 -257C124 -257 162 -243 209 -194C267 -134 303 -66 343 107C369 220 378 279 393 385L503 397L523 433H404C432 619 464 660 500 660C522 660 542 646 566 621C573 614 583 615 593 621C603 628 620 648 620 667Z" id="g50-103"></path> </g> <g transform="matrix(.013,0,0,-0.013,37.92,53.914)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.44,53.973)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.82,53.732)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.09,53.973)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.41,53.732)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.95,53.732)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.43,53.914)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,87.17,53.732)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R23"> <svg class="label" height="11.44pt" id="M23-6" version="1.1" viewbox="0 0 14.898 11.44" width="14.898pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B23-6"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M130 550H367L393 615L386 623H101L63 323C82 331 123 342 165 342C275 342 328 277 328 188C328 107 283 40 201 40C141 40 99 72 78 91C69 99 59 98 51 91C39 81 30 67 29 58C28 48 33 37 46 24C60 10 104 -12 149 -12C203 -11 269 14 323 59C384 109 412 165 412 225C412 308 347 399 219 399C193 399 146 382 104 367L130 550Z" id="g190-161"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.4,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>截止频率<svg height="11.4899pt" id="M24" style="vertical-align:-5.52899pt" version="1.1" viewbox="-0.0498162 -5.96091 14.479 11.4899" width="14.479pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.969,3.132)"> <use xlink:href="#g50-103"></use> </g> </svg>过滤器应该低(<span class="inline_break"> <svg height="13.8778pt" id="M25" style="vertical-align:-5.52898pt" version="1.1" viewbox="-0.0498162 -8.34882 29.096 13.8778" width="29.096pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.969,3.132)"> <use xlink:href="#g50-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.981,0)"> <path d="M512 -3V55L134 254V256L512 456V514L75 281V230L512 -3ZM780 -3V55L402 254V256L780 456V514L343 281V230L780 -3Z" id="g117-123"></path> </g> </svg><span class="irelop"></span> <svg height="13.8778pt" style="vertical-align:-5.52898pt" version="1.1" viewbox="32.6781838 -8.34882 6.24 13.8778" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,32.728,0)"> <use xlink:href="#g113-50"></use> </g> </svg></span>),以确保跟踪控制系统的状态。注意,与(相比<a href="#EEq3">3</a>),在第一个方程的意思<svg height="11.439pt" id="M26" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 18.1721 11.439" width="18.1721pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> </svg>被替换为其过滤变量<svg height="6.44133pt" id="M27" style="vertical-align:-0.29774pt" version="1.1" viewbox="-0.0498162 -6.14359 6.59789 6.44133" width="6.59789pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-123"></use> </g> </svg>。一个振荡器(的情况下<span class="inline_break"> <svg height="8.8423pt" id="M28" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 22.173 8.8423" width="22.173pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.542,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="8.8423pt" style="vertical-align:-0.2064009pt" version="1.1" viewbox="25.7551838 -8.6359 6.24 8.8423" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,25.805,0)"> <use xlink:href="#g113-50"></use> </g> </svg></span>,产生三维系统)一直在研究[<a href="#B31">31日</a>]分析2<我>N</我>维系统(<a href="#EEq3">3</a>)和(<span class="inline_break"> <svg height="8.98583pt" id="M29" style="vertical-align:-0.3499308pt" version="1.1" viewbox="-0.0498162 -8.6359 27.687 8.98583" width="27.687pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.24,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.056,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="8.98583pt" style="vertical-align:-0.3499308pt" version="1.1" viewbox="30.5421838 -8.6359 6.24 8.98583" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,30.592,0)"> <use xlink:href="#g113-50"></use> </g> </svg></span>维系统(<a href="#EEq4">5</a>)是非常复杂的。因此,我们考虑一个平均场方法。获得的平均场变量是通过直接平均的变量<svg height="9.25202pt" id="M30" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 10.3843 9.25202" width="10.3843pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg>和<svg height="9.39034pt" id="M31" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 10.1233 9.39034" width="10.1233pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.942,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg>和参数<svg height="9.25202pt" id="M32" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 7.34395 9.25202" width="7.34395pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g 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height="107.414pt" id="M34-2" version="1.1" viewbox="0 0 31.754 107.414" width="31.754pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-2"> <g transform="matrix(.013,0,0,-0.013,0,10.593)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.53,10.834)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.92,10.593)"> <use xlink:href="#g113-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.2,10.834)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.79,10.593)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="107.414pt" id="M34-3" version="1.1" viewbox="0 0 99.424 107.414" width="99.424pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-3"> <g transform="matrix(.013,0,0,-0.013,0,34.017)"> <use xlink:href="#g119-13"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.77,33.795)"> <use 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transform="matrix(.013,0,0,-0.013,88.13,34.017)"> <use xlink:href="#g119-14"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.46,34.017)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg height="107.414pt" id="M34-5" version="1.1" viewbox="0 0 149.557 107.414" width="149.557pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-5"> <g transform="matrix(.013,0,0,-0.013,0,57.683)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.65,57.22)"> <use xlink:href="#g117-11"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.39,57.442)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.69,57.683)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.71,57.442)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.97,57.442)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.73,57.683)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.12,57.442)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.39,57.683)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.71,57.442)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.24,57.442)"> <use xlink:href="#g119-13"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.36,57.442)"> <use xlink:href="#g113-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.89,57.442)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,94.92,57.442)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,102.12,60.573)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,105.18,57.442)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,110.23,57.442)"> <use xlink:href="#g119-14"></use> </g> <g transform="matrix(.013,0,0,-0.013,119.28,57.442)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,129.81,57.442)"> <use xlink:href="#g119-13"></use> </g> <g transform="matrix(.013,0,0,-0.013,135.93,57.442)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,143.46,57.442)"> <use xlink:href="#g119-14"></use> </g> </g> </svg> <svg height="107.414pt" id="M34-6" version="1.1" viewbox="0 0 26.579 107.414" width="26.579pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-6"> <g transform="matrix(.013,0,0,-0.013,0,57.442)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.54,57.683)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.93,57.442)"> <use xlink:href="#g113-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.21,57.683)"> <use xlink:href="#g113-63"></use> </g> </g> </svg> <svg height="107.414pt" id="M34-7" version="1.1" viewbox="0 0 71.474 107.414" width="71.474pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-7"> <g transform="matrix(.013,0,0,-0.013,0,57.442)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.54,57.442)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.26,57.624)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,23.77,57.442)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.15,57.442)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.69,57.683)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.08,57.442)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.35,57.683)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,61.76,57.624)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.51,57.442)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="107.414pt" id="M34-8" version="1.1" viewbox="0 0 99.424 107.414" width="99.424pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-8"> <g transform="matrix(.013,0,0,-0.013,0,80.866)"> <use xlink:href="#g119-13"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.77,80.644)"> <use xlink:href="#g117-11"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.12,80.866)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.67,80.866)"> <use xlink:href="#g119-14"></use> </g> <g transform="matrix(.013,0,0,-0.013,23.42,80.866)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.69,81.107)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.08,80.866)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.34,81.107)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.66,80.866)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,66.2,80.866)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.48,80.866)"> <use xlink:href="#g119-13"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.6,80.866)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.13,80.866)"> <use xlink:href="#g119-14"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.46,80.866)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="107.414pt" id="M34-9" version="1.1" viewbox="0 0 90.134 107.414" width="90.134pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-9"> <g transform="matrix(.013,0,0,-0.013,6.08,101.48)"> <use xlink:href="#g117-11"></use> </g> <g transform="matrix(.013,0,0,-0.013,0,101.885)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.13,101.885)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.39,101.885)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,29.36,105.017)"> <use xlink:href="#g50-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.92,102.068)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.44,102.126)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.82,101.885)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.09,102.126)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.41,101.885)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.95,101.885)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.43,102.068)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,87.17,101.885)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg class="alt_equation" height="150.553pt" id="I34" version="1.1" viewbox="0 0 151.44 150.553" width="151.44pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 1.73 0)" xlink:href="#B34-1"></use> <use transform="matrix(1 0 0 1 37.63 21.02)" xlink:href="#B34-2"></use> <use transform="matrix(1 0 0 1 0 21.02)" xlink:href="#B34-3"></use> <use transform="matrix(1 0 0 1 1.73 21.02)" xlink:href="#B34-5"></use> <use transform="matrix(1 0 0 1 37.63 43.14)" xlink:href="#B34-6"></use> <use transform="matrix(1 0 0 1 67.15 43.14)" xlink:href="#B34-7"></use> <use transform="matrix(1 0 0 1 0 43.14)" xlink:href="#B34-8"></use> <use transform="matrix(1 0 0 1 13.3 43.14)" xlink:href="#B34-9"></use> </svg></span></span><span class="right_break" id="R34"> <svg class="label" height="11.44pt" id="M34-4" version="1.1" viewbox="0 0 21.138 11.44" width="21.138pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-4"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M143 344C173 483 265 547 326 576C363 593 402 605 434 611L429 641C389 634 343 623 301 608C195 570 43 456 43 236C43 81 135 -12 245 -12C368 -12 453 88 453 208C453 310 380 393 273 393C253 393 232 386 211 376L143 344ZM234 338C325 338 367 255 367 172C367 102 346 21 264 21C184 21 132 113 132 239C132 267 133 291 138 312C164 327 197 338 234 338Z" id="g190-227"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.93,9.26)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z" id="g190-98"></path> </g> <g transform="matrix(.013,0,0,-0.013,16.64,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="label" height="11.44pt" id="M34-10" version="1.1" viewbox="0 0 20.738 11.44" width="20.738pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B34-10"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M430 623H48C43 580 39 534 30 478H57C80 544 84 550 152 550H369C286 366 187 178 74 -1L81 -12L156 -2C249 201 343 408 438 611L430 623Z" id="g190-223"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.53,9.26)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.24,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="150.553pt" id="IL34" version="1.1" viewbox="0 0 21.22 150.553" width="21.22pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 23.57)" xlink:href="#B34-4"></use> <use transform="matrix(1 0 0 1 0 103.28)" xlink:href="#B34-10"></use> </svg></span></span>请注意,(<a href="#EEq3a">6</a>)缺乏这个词<svg height="11.5564pt" id="M35" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 31.1556 11.5564" width="31.1556pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.539,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.037,0)"> <path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z" id="g113-46"></path> </g> <g transform="matrix(.013,0,0,-0.013,16.18,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.324,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.5,0)"> <use xlink:href="#g113-42"></use> </g> </svg>,因为<span class="inline_break"> <svg height="11.5564pt" id="M36" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 33.04 11.5564" width="33.04pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.498,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.867,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.134,0)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.409,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="35.8951838 -9.28833 33.766 11.5564" width="33.766pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,35.945,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.314,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,48.582,0)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,53.95,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.08,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="73.29318380000001 -9.28833 6.24 11.5564" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,73.343,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>。</p> <p>为<span class="inline_break"> <svg 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<use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.255,0)"> <path d="M368 703H309L44 -163H104L368 703Z" id="g113-48"></path> </g> </svg><span class="isep"></span> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="38.5661838 -9.28833 21.136 11.5564" width="21.136pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,38.616,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.114,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,52.121,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="62.607183799999994 -9.28833 11.078 11.5564" width="11.078pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,62.657,0)"> <use 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viewbox="0 0 19.81 263.695" width="19.81pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 35.56)" xlink:href="#B39-4"></use> <use transform="matrix(1 0 0 1 0 117.61)" xlink:href="#B39-7"></use> <use transform="matrix(1 0 0 1 0 207.96)" xlink:href="#B39-11"></use> </svg></span></span>注意,RC跟踪滤波器(<a href="#EEq3a">7一个</a>)不改变固定点的位置:比较(<a href="#EEq5">10</a>)和(<a href="#EEq5">9</a>)。的值(<a href="#EEq5">10</a>)是独立的<svg height="9.49473pt" id="M40" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.66314 9.49473" width="6.66314pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> </svg>,因为<span class="inline_break"> <svg height="12.5794pt" id="M41" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 34.215 12.5794" width="34.215pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.005,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.584,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="37.796183799999994 -9.28833 10.581 12.5794" width="10.581pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,37.846,0)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,43.995,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg></span>和耦合项<svg height="9.49473pt" id="M42" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.66314 9.49473" width="6.66314pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> </svg>(<span class="inline_break"> <svg height="11.439pt" id="M43" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 17.012 11.439" width="17.012pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.381,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="11.439pt" style="vertical-align:-2.15067pt" version="1.1" viewbox="19.867183800000003 -9.28833 18.005 11.439" width="18.005pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,19.917,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.286,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.553,0)"> <use xlink:href="#g113-63"></use> </g> </svg></span>)(<a href="#EEq3a">7一个</a>不动点)消失。固定的点(<a href="#EEq5">9</a>)和(<a href="#EEq5">10</a>)在形式上类似于个人非耦合振子的不动点(<a href="#EEq5">8</a>),除了固定的点(<a href="#EEq5">9</a>)和(<a href="#EEq5">10</a>)是单点,而(<a href="#EEq5">8</a>)的收益率<svg height="8.8423pt" id="M44" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 11.0475 8.8423" width="11.0475pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-79"></use> </g> </svg>相空间中的点。</p> <p>系统(<a href="#EEq3a">7一个</a>),当在不动点线性化(<a href="#EEq5">10</a>),读<span class="equation_break" id="EEq8"><span class="left_break" id="L45"></span><span class="middle_break"><span class="center_break" id="M45"> <svg height="60.5655pt" id="M45-1" version="1.1" viewbox="0 0 167.414 60.5655" width="167.414pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B45-1"> <g transform="matrix(.013,0,0,-0.013,0,10.835)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.66,10.371)"> <use xlink:href="#g117-11"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.39,10.593)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.69,10.835)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.71,10.593)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.97,10.593)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.73,10.835)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.12,10.593)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.39,10.835)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.71,10.593)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.25,10.593)"> <use xlink:href="#g119-13"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.37,10.593)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,86.9,10.593)"> <use xlink:href="#g119-14"></use> </g> <g transform="matrix(.013,0,0,-0.013,95.95,10.593)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,106.48,10.593)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,115.2,10.776)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,119.72,10.593)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,129.1,10.593)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,139.63,10.835)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,145.02,10.593)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,152.29,10.835)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,157.71,10.776)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,164.45,10.593)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="60.5655pt" id="M45-2" version="1.1" viewbox="0 0 99.424 60.5655" width="99.424pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B45-2"> <g transform="matrix(.013,0,0,-0.013,0,34.018)"> <use xlink:href="#g119-13"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.77,33.796)"> <use xlink:href="#g117-11"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.12,34.018)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.67,34.018)"> <use xlink:href="#g119-14"></use> </g> <g transform="matrix(.013,0,0,-0.013,23.42,34.018)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.69,34.259)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.08,34.018)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.34,34.259)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.66,34.018)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,66.2,34.018)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.48,34.018)"> <use xlink:href="#g119-13"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.6,34.018)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.13,34.018)"> <use xlink:href="#g119-14"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.46,34.018)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="60.5655pt" id="M45-3" version="1.1" viewbox="0 0 90.134 60.5655" width="90.134pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B45-3"> <g transform="matrix(.013,0,0,-0.013,6.08,54.632)"> <use xlink:href="#g117-11"></use> </g> <g transform="matrix(.013,0,0,-0.013,0,55.036)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.13,55.036)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.39,55.036)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,29.36,58.168)"> <use xlink:href="#g50-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.92,55.219)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.44,55.278)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.82,55.036)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.09,55.278)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.41,55.036)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.95,55.036)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.43,55.219)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,87.17,55.036)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg class="alt_equation" height="60.5655pt" id="I45" version="1.1" viewbox="0 0 169.28 60.5655" width="169.28pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 1.73 0)" xlink:href="#B45-1"></use> <use transform="matrix(1 0 0 1 0 0)" xlink:href="#B45-2"></use> <use transform="matrix(1 0 0 1 13.3 0)" xlink:href="#B45-3"></use> </svg></span></span><span class="right_break" id="R45"> <svg class="label" height="11.44pt" id="M45-4" version="1.1" viewbox="0 0 17.788 11.44" width="17.788pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B45-4"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.9,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.29,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="60.5655pt" id="IL45" version="1.1" viewbox="0 0 17.86 60.5655" width="17.86pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 24.35)" xlink:href="#B45-4"></use> </svg></span></span></p> <p>从微分方程对应的特征方程,获得了(<a href="#EEq8">11</a>使用标准程序),有以下代数形式:<span class="equation_break" id="EEq9"><span class="left_break" id="L46"></span><span class="middle_break"><span class="center_break" id="M46"> <svg height="16.0778pt" id="M46-1" version="1.1" viewbox="0 0 130.614 16.0778" width="130.614pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B46-1"> <g transform="matrix(.013,0,0,-0.013,0,12.113)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.18,5.85)"> <use xlink:href="#g50-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.03,12.113)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.57,12.113)"> <path d="M499 88L487 113C459 86 422 65 413 65C403 65 403 74 409 98L461 318C487 426 460 448 431 448C408 448 383 441 352 424C305 398 223 344 157 257H155L243 674C249 702 249 712 240 712C227 712 170 680 87 673L82 648H117C155 648 162 644 150 590L23 -4L30 -12C55 -4 81 3 105 8C113 53 131 150 143 187C199 281 323 387 372 387C390 387 393 369 380 311L328 86C313 19 319 -12 347 -12C379 -12 442 24 499 88Z" id="g113-105"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,32.21,15.245)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.15,12.113)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,44.33,5.85)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,52.18,12.113)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.72,12.113)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,69.36,15.245)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.31,12.113)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.39,12.113)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,94.92,12.113)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,101.57,15.245)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,110.14,12.113)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,121.41,12.113)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,127.65,12.113)"> <use 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xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.643,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.221,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="26.434183800000003 -9.28833 24.748 14.8173" width="24.748pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,26.484,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.115,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.601,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="54.0871838 -9.28833 16.638 14.8173" width="16.638pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,54.137,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.144,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="73.63018380000001 -9.28833 17.076 14.8173" width="17.076pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,73.68,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,83.125,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="93.61218380000001 -9.28833 13.829 14.8173" width="13.829pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,93.662,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,101.631,3.132)"> <use xlink:href="#g50-103"></use> </g> </svg></span>,<span class="inline_break"> <svg height="14.8173pt" id="M48" style="vertical-align:-5.52897pt" version="1.1" viewbox="-0.0498162 -9.28833 22.852 14.8173" width="22.852pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.643,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.221,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="26.434183800000003 -9.28833 16.777 14.8173" width="16.777pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,26.484,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.63,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="46.116183799999995 -9.28833 23.218 14.8173" width="23.218pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,46.166,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,52.746,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,61.753,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="72.24018380000001 -9.28833 23.176 14.8173" width="23.176pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,72.29,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,78.391,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,87.835,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="98.3221838 -9.28833 21.615 14.8173" width="21.615pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,98.372,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,102.87,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,112.356,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="122.8421838 -9.28833 24.428 14.8173" width="24.428pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,122.892,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,128.993,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,133.491,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,141.46,3.132)"> <use xlink:href="#g50-103"></use> </g> </svg></span>,<span class="inline_break"> <svg height="14.8173pt" id="M49" style="vertical-align:-5.52897pt" version="1.1" viewbox="-0.0498162 -9.28833 22.852 14.8173" width="22.852pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.643,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.221,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="26.434183800000003 -9.28833 21.275 14.8173" width="21.275pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,26.484,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.982,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.128,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="14.8173pt" style="vertical-align:-5.52897pt" version="1.1" viewbox="50.6141838 -9.28833 31.008 14.8173" width="31.008pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,50.664,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,57.244,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.346,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.844,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,75.812,3.132)"> <use xlink:href="#g50-103"></use> </g> </svg></span>。</p> <p>定点的字段是稳定的,如果真正的所有三个部分特征值<svg height="13.639pt" id="M50" style="vertical-align:-4.35067pt" version="1.1" viewbox="-0.0498162 -9.28833 42.0601 13.639" width="42.0601pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g121-80"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.243,0)"> <use xlink:href="#g121-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.947,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.708,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.14,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,30.296,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,34.728,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.885,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>是负的。方程(<a href="#EEq9">12</a>)数值求解了不同耦合系数的值<我>k</我>(图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig2/" target="_blank">2</a>)和阈值<svg height="12.584pt" id="M51" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 14.9605 12.584" width="14.9605pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.474,3.132)"> <path d="M303 37L293 66C280 59 256 49 231 49S173 63 173 143V396H281C294 404 298 428 287 439H173V575L158 577L92 509V439H46L17 408L22 396H92V107C92 27 128 -12 192 -12C203 -12 218 -9 237 2L303 37Z" id="g58-114"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.359,3.132)"> <path d="M522 0V30C462 35 455 41 455 106V280C455 397 397 451 314 451C262 451 206 414 171 379V710C131 698 69 682 20 675V647C87 642 90 637 90 574V106C90 41 80 35 20 30V0H236V30C176 35 171 43 171 106V339C198 371 237 391 276 391C341 391 374 350 374 269V106C374 43 367 35 308 30V0H522Z" id="g58-102"></path> </g> </svg>,最大的<span class="inline_break"> <svg height="12.584pt" id="M52" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 51.563 12.584" width="51.563pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g121-80"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.243,0)"> <use xlink:href="#g121-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.947,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.708,3.132)"> <path d="M810 0V30C751 35 744 40 744 106V296C744 396 694 451 614 451C583 451 558 438 537 425C512 409 485 391 454 368C434 420 390 451 342 451C309 451 285 439 260 424C228 405 206 387 185 372V453C141 434 90 421 43 413V386C102 378 105 373 105 309V106C105 41 96 35 29 30V0H243V30C194 35 185 41 185 106V335C216 360 256 389 297 389C357 389 384 348 384 275V106C384 41 374 35 312 30V0H530V30C475 35 465 41 465 104V294C465 313 464 324 463 336C502 367 539 389 576 389C637 389 663 346 663 274V109C663 41 653 35 593 30V0H810Z" id="g58-107"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,31.27,3.132)"> <path d="M442 39L431 68C420 63 406 57 394 57C377 57 359 71 359 118V301C359 353 349 393 314 424C291 443 261 451 230 451C171 438 107 401 79 381C59 366 46 355 46 340C46 316 72 295 91 295C106 295 117 303 122 319C131 350 139 371 152 384C163 397 178 404 197 404C246 404 281 365 281 293V278C260 262 186 232 124 213C69 194 41 161 41 112C41 47 92 -12 163 -12C195 -12 243 25 283 51C288 35 293 22 308 7C319 -4 339 -12 354 -12L442 39ZM281 87C262 68 226 51 199 51C169 51 129 74 129 126C129 162 151 181 190 198C211 208 259 229 281 240V87Z" id="g58-95"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,35.356,3.132)"> <path d="M482 0V30C420 38 407 48 370 103L273 248C308 299 331 332 352 357C387 397 401 404 463 409V439H277V409C318 405 324 400 307 369C290 337 270 307 251 279L194 367C175 396 180 402 220 409V439H18V409C74 401 87 395 117 349L204 213C173 168 147 130 119 95C78 46 67 38 5 30V0H195V30C144 38 143 47 162 79C181 112 202 149 225 181L297 70C314 43 307 35 264 30V0H482Z" id="g58-118"></path> </g> <g transform="matrix(.013,0,0,-0.013,43.932,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.584pt" style="vertical-align:-3.29567pt" version="1.1" viewbox="55.1451838 -9.28833 6.24 12.584" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,55.195,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>,被发现。</p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-6bc67e1d9378cd6af4e5c6076044983b"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.002a.jpg"> <br> <strong>(一)</strong> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.002b.jpg"> <br> <strong>(b)</strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-6bc67e1d9378cd6af4e5c6076044983b partial-carousel-thumbnail"> <button aria-label="Slide to (a) " class="partial-carousel-dot"><img loading="lazy" alt="(一)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.002a_th.jpg"><br><strong>(一)</strong></button> <button aria-label="Slide to (b) " class="partial-carousel-dot"><img loading="lazy" alt="(b)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.002b_th.jpg"><br><strong>(b)</strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-6bc67e1d9378cd6af4e5c6076044983b partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</span> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2017/4324879/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 真正的部分特征值,<svg height="13.639pt" id="M53" style="vertical-align:-4.35067pt" version="1.1" viewbox="-0.0498162 -9.28833 42.0601 13.639" width="42.0601pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g121-80"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.243,0)"> <use xlink:href="#g121-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.947,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.708,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.14,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,30.296,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,34.728,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.885,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>作为耦合参数的函数<svg height="9.49473pt" id="M54" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.66314 9.49473" width="6.66314pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> </svg>。(一)全面视图和(b)垂直延伸视图。<span class="inline_break"> <svg height="8.55521pt" id="M55" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 17.843 8.55521" width="17.843pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.212,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="8.55521pt" style="vertical-align:-0.2063904pt" version="1.1" viewbox="21.425183800000003 -8.34882 15.444 8.55521" width="15.444pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.475,0)"> <path d="M285 378C315 398 338 416 353 432C373 451 384 474 384 503C384 579 325 635 236 635H235C182 635 136 610 108 579L65 516L85 496C110 533 150 575 205 575C258 575 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transform="matrix(.013,0,0,-0.013,9.733,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="9.49473pt" style="vertical-align:-0.2063999pt" version="1.1" viewbox="20.9461838 -9.28833 21.684 9.49473" width="21.684pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,20.996,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,27.236,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.2,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.44,0)"> <path d="M137 343C167 482 260 545 321 574C357 591 397 603 429 609L423 641C382 634 335 622 295 608C189 570 37 457 37 238C37 84 125 -12 242 -12C362 -12 447 89 447 209C447 311 374 393 267 393C247 393 226 386 204 376L137 343ZM227 337C318 337 361 256 361 173C361 105 336 22 258 22C176 22 126 120 126 240C126 266 127 291 132 310C155 323 189 337 227 337Z" id="g113-55"></path> </g> </svg></span>,<span class="inline_break"> <svg height="13.8778pt" id="M57" style="vertical-align:-5.52898pt" version="1.1" viewbox="-0.0498162 -8.34882 25.612 13.8778" width="25.612pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.969,3.132)"> <use xlink:href="#g50-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.981,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="13.8778pt" style="vertical-align:-5.52898pt" version="1.1" viewbox="29.1941838 -8.34882 21.684 13.8778" width="21.684pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,29.244,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.484,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.448,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.688,0)"> <path d="M153 550H386L412 615L406 623H120L82 318C104 327 142 338 184 338C294 338 347 275 347 187C347 112 305 39 221 39C160 39 119 71 97 89C88 97 80 96 71 90C59 80 50 67 49 57C48 45 52 36 66 23C80 9 123 -12 169 -12C221 -11 288 15 342 59C403 109 431 165 431 225C431 308 366 395 238 395C212 395 165 379 127 364L153 550Z" id="g113-54"></path> </g> </svg></span>。情节(b)的箭头表示耦合参数<span class="inline_break"> <svg height="12.584pt" id="M58" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 26.099 12.584" width="26.099pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.474,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.359,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.468,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.584pt" style="vertical-align:-3.29567pt" version="1.1" viewbox="29.681183800000003 -9.28833 21.685 12.584" width="21.685pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,29.731,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.972,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.936,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.176,0)"> <use xlink:href="#g113-52"></use> </g> </svg></span>,最大的特征值<svg height="13.639pt" id="M59" style="vertical-align:-4.35067pt" version="1.1" viewbox="-0.0498162 -9.28833 35.447 13.639" width="35.447pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g121-80"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.243,0)"> <use xlink:href="#g121-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.947,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.708,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.14,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,30.296,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>穿越零轴。</d我v> </div> </div> </div> <p>此外,稳定的必要和充分条件可以估计从赫维茨矩阵分析<span class="equation_break" id="EEq10"><span class="left_break" id="L60"></span><span class="middle_break"><span class="center_break" id="M60"> <svg height="49.5218pt" id="M60-1" version="1.1" viewbox="0 0 99.914 49.5218" width="99.914pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B60-1"> <g transform="matrix(.013,0,0,-0.013,0,28.088)"> <path d="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z" id="g113-73"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.55,28.088)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.81,28.088)"> <path d="M707 -1389C403 -1055 224 -414 224 271C224 957 400 1596 707 1931L671 1968C291 1582 119 964 119 272V271C119 -427 291 -1048 671 -1426L707 -1389Z" id="g119-226"></path> </g> <g transform="matrix(.013,0,0,-0.013,36.89,9.288)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,43.53,12.42)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.48,9.288)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.13,12.42)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.75,9.288)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.57,27.423)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.48,27.423)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.13,30.554)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.75,27.423)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.57,45.557)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.48,45.557)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.13,48.689)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,72.08,45.557)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,78.72,48.689)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,83.69,28.088)"> <path d="M730 271V272C730 964 558 1582 178 1968L142 1931C449 1596 625 957 625 271C625 -414 446 -1055 142 -1389L178 -1426C558 -1048 730 -427 730 271Z" id="g119-233"></path> </g> <g transform="matrix(.013,0,0,-0.013,96.95,28.088)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R60"> <svg class="label" height="11.44pt" id="M60-2" version="1.1" viewbox="0 0 19.258 11.44" width="19.258pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B60-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.49,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.89,9.26)"> <use xlink:href="#g190-232"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.76,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>根据Routh-Hurwitz稳定性判据<span class="inline_break"> <svg height="13.639pt" id="M61" style="vertical-align:-4.35067pt" version="1.1" viewbox="-0.0498162 -9.28833 53.143 13.639" width="53.143pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g121-80"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.243,0)"> <use xlink:href="#g121-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.947,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.708,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.14,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,30.296,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,34.769,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.926,3.132)"> <use xlink:href="#g50-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.512,0)"> <use xlink:href="#g117-91"></use> </g> </svg><span class="irelop"></span> <svg height="13.639pt" style="vertical-align:-4.35067pt" version="1.1" viewbox="56.725183799999996 -9.28833 6.24 13.639" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,56.775,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>如果所有对角线的未成年人<svg height="8.68572pt" id="M62" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 11.0606 8.68572" width="11.0606pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-73"></use> </g> </svg>矩阵是积极的<span class="equation_break" id="EEq11"><span class="left_break" id="L63"></span><span class="middle_break"><span class="center_break" id="M63"> <svg height="57.4919pt" id="M63-1" version="1.1" viewbox="0 0 65.484 57.4919" width="65.484pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B63-1"> <g transform="matrix(.013,0,0,-0.013,0,9.288)"> <path d="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z" id="g113-133"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.96,12.42)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.54,9.288)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.8,9.288)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.44,12.42)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.02,9.288)"> <use xlink:href="#g117-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.28,9.288)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.52,9.288)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="57.4919pt" id="M63-2" version="1.1" viewbox="0 0 102.114 57.4919" width="102.114pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B63-2"> <g transform="matrix(.013,0,0,-0.013,0,31.408)"> <use xlink:href="#g113-133"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.96,34.54)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.54,31.408)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.8,31.408)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.44,34.54)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.39,31.408)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.03,34.54)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.89,31.408)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,66.42,31.408)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,73.06,34.54)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,81.64,31.408)"> <use xlink:href="#g117-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,92.91,31.408)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,99.15,31.408)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="57.4919pt" id="M63-3" version="1.1" viewbox="0 0 80.394 57.4919" width="80.394pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B63-3"> <g transform="matrix(.013,0,0,-0.013,0,53.527)"> <use xlink:href="#g113-133"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.96,56.659)"> <use xlink:href="#g50-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.54,53.527)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.8,53.527)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.44,56.659)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.39,53.527)"> <use xlink:href="#g113-133"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,51.35,56.659)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,59.93,53.527)"> <use xlink:href="#g117-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.19,53.527)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,77.43,53.527)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R63"> <svg class="label" height="11.44pt" id="M63-4" version="1.1" viewbox="0 0 19.638 11.44" width="19.638pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B63-4"> <g transform="matrix(.013,0,0,-0.013,0,9.25)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.25)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.68,9.25)"> <use xlink:href="#g190-166"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.14,9.25)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span></p> <p>我们开始分析<svg height="11.927pt" id="M64" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 15.0414 11.927" width="15.0414pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-133"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.958,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>。自<svg height="11.8174pt" id="M65" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 15.0414 11.8174" width="15.0414pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-133"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.958,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>应该积极根据第二个不平等,第三不平等吗<svg height="11.927pt" id="M66" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 15.0414 11.927" width="15.0414pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-133"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.958,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>可以简化为<span class="inline_break"> <svg height="12.5794pt" id="M67" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 22.852 12.5794" width="22.852pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.643,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.221,0)"> <use xlink:href="#g117-92"></use> </g> </svg><span class="irelop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="26.434183800000003 -9.28833 6.24 12.5794" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,26.484,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>。这可以进一步简化<span class="inline_break"> <svg height="9.92533pt" id="M68" style="vertical-align:-0.6370001pt" version="1.1" viewbox="-0.0498162 -9.28833 23.944 9.92533" width="23.944pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.58,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.313,0)"> <use xlink:href="#g117-91"></use> </g> </svg><span class="irelop"></span> <svg height="9.92533pt" style="vertical-align:-0.6370001pt" version="1.1" viewbox="27.526183800000002 -9.28833 6.24 9.92533" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.576,0)"> <use xlink:href="#g113-50"></use> </g> </svg></span>,因为<span class="inline_break"> <svg height="13.8778pt" id="M69" style="vertical-align:-5.52898pt" version="1.1" viewbox="-0.0498162 -8.34882 25.612 13.8778" width="25.612pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.969,3.132)"> <use xlink:href="#g50-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.981,0)"> <use xlink:href="#g117-92"></use> </g> </svg><span class="irelop"></span> <svg height="13.8778pt" style="vertical-align:-5.52898pt" version="1.1" viewbox="29.1941838 -8.34882 6.24 13.8778" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,29.244,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>通过定义。的不平等<span class="inline_break"> <svg height="9.92533pt" id="M70" style="vertical-align:-0.6370001pt" version="1.1" viewbox="-0.0498162 -9.28833 23.944 9.92533" width="23.944pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.58,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.313,0)"> <use xlink:href="#g117-91"></use> </g> </svg><span class="irelop"></span> <svg height="9.92533pt" style="vertical-align:-0.6370001pt" version="1.1" viewbox="27.526183800000002 -9.28833 6.24 9.92533" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.576,0)"> <use xlink:href="#g113-50"></use> </g> </svg></span>总是感到满意,因为它被用来推导出固定的点(<a href="#EEq5">8</a>)- (<a href="#EEq5">10</a>)。因此,剩下的第一和第二的不平等(<a href="#EEq11">14</a>)。我们定义的阈值<svg height="12.584pt" id="M71" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 14.9605 12.584" width="14.9605pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.474,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.359,3.132)"> <use xlink:href="#g58-102"></use> </g> </svg>要求为<span class="inline_break"> <svg height="12.584pt" id="M72" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 17.802 12.584" width="17.802pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.171,0)"> <use xlink:href="#g117-92"></use> </g> </svg><span class="irelop"></span> <svg height="12.584pt" style="vertical-align:-3.29567pt" version="1.1" viewbox="21.384183800000002 -9.28833 14.309 12.584" width="14.309pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.434,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,27.908,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,30.793,3.132)"> <use xlink:href="#g58-102"></use> </g> </svg></span>两个未成年人,<svg height="11.8174pt" id="M73" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 15.0414 11.8174" width="15.0414pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-133"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.958,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>和<svg height="11.8174pt" id="M74" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 15.0414 11.8174" width="15.0414pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-133"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.958,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>是积极的。第一个小<span class="inline_break"> <svg height="12.4698pt" id="M75" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 26.167 12.4698" width="26.167pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-133"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.958,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.536,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.4698pt" style="vertical-align:-3.18147pt" version="1.1" viewbox="29.7491838 -9.28833 11.075 12.4698" width="11.075pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,29.799,0)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.442,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg></span>很简单,<svg height="12.584pt" id="M76" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 19.4088 12.584" width="19.4088pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.474,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.359,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.309,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>很容易得到:<span class="equation_break" id="EEq12"><span class="left_break" id="L77"></span><span class="middle_break"><span class="center_break" id="M77"> <svg height="14.8173pt" id="M77-1" version="1.1" viewbox="0 0 91.054 14.8173" width="91.054pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B77-1"> <g transform="matrix(.013,0,0,-0.013,0,9.288)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.47,12.42)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.36,12.42)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.31,12.42)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,22.91,9.288)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.18,9.288)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.66,9.288)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.2,9.288)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.21,9.288)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.74,9.288)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,81.71,12.42)"> <use xlink:href="#g50-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.09,9.288)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R77"> <svg class="label" height="11.44pt" id="M77-2" version="1.1" viewbox="0 0 19.288 11.44" width="19.288pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B77-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.89,9.26)"> <use xlink:href="#g190-161"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.79,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>图中给出的参数值<a href="//www.newsama.com/journals/complexity/2017/4324879/fig2/" target="_blank">2</a>,<span class="inline_break"> <svg height="12.584pt" id="M78" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 30.548 12.584" width="30.548pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.474,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.359,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.309,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,22.917,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.584pt" style="vertical-align:-3.29567pt" version="1.1" viewbox="34.1301838 -9.28833 21.684 12.584" width="21.684pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,34.18,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.42,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.384,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.624,0)"> <path d="M244 635C114 635 38 519 38 422C38 317 111 240 217 240C236 240 255 244 277 256L345 292C311 140 203 39 59 15L64 -15C89 -15 150 -5 204 17C339 72 440 202 440 386C440 521 368 635 244 635ZM228 602C326 602 352 479 352 390C352 370 351 347 348 324C327 308 293 296 258 296C174 296 124 369 124 458C124 517 152 602 228 602Z" id="g113-58"></path> </g> </svg></span>。第二个不平等(<a href="#EEq11">14</a>)是更多的麻烦和二次方程对收益率<svg height="12.584pt" id="M79" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 19.4088 12.584" width="19.4088pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.474,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.359,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.309,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>。<span class="equation_break" id="EEq13"><span class="left_break" id="L80"></span><span class="middle_break"><span class="center_break" id="M80"> <svg height="16.0778pt" id="M80-1" version="1.1" viewbox="0 0 126.544 16.0778" width="126.544pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B80-1"> <g transform="matrix(.013,0,0,-0.013,0,12.113)"> <path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z" id="g113-113"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.39,15.245)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.33,12.113)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.87,5.85)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.81,15.897)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,21.69,15.897)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,26.64,15.897)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.53,12.113)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.06,12.113)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.45,15.245)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,57.39,12.113)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,63.87,15.245)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.75,15.245)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.7,15.245)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.58,12.113)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,90.12,12.113)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,97.5,15.245)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,106.08,12.113)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,117.34,12.113)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,123.58,12.113)"> <use xlink:href="#g113-45"></use> </g> </g> </svg></span></span><span class="right_break" id="R80"> <svg class="label" height="11.44pt" id="M80-2" version="1.1" viewbox="0 0 19.758 11.44" width="19.758pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B80-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.83,9.26)"> <use xlink:href="#g190-227"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.26,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>在哪里<span class="inline_break"> <svg height="12.7178pt" id="M81" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 23.593 12.7178" width="23.593pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.384,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.962,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.7178pt" style="vertical-align:-3.42947pt" version="1.1" viewbox="27.175183800000003 -9.28833 6.097 12.7178" width="6.097pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.225,0)"> <use xlink:href="#g113-99"></use> </g> </svg></span>,<span class="inline_break"> <svg height="15.0208pt" id="M82" style="vertical-align:-3.429399pt" version="1.1" viewbox="-0.0498162 -11.5914 23.593 15.0208" width="23.593pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.384,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.962,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="27.175183800000003 -11.5914 16.777 15.0208" width="16.777pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.225,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.371,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="46.857183799999994 -11.5914 29.458 15.0208" width="29.458pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,46.907,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,53.147,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,59.727,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.734,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="79.2201838 -11.5914 21.585 15.0208" width="21.585pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,79.27,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,85.372,-5.741)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,93.224,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="103.71018380000001 -11.5914 21.615 15.0208" width="21.615pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,103.76,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,108.258,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,117.744,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="128.2301838 -11.5914 25.133 15.0208" width="25.133pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,128.28,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,134.52,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,140.621,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,145.119,0)"> <use xlink:href="#g113-246"></use> </g> </svg></span>,<span class="inline_break"> <svg height="15.0208pt" id="M83" style="vertical-align:-3.429399pt" version="1.1" viewbox="-0.0498162 -11.5914 23.593 15.0208" width="23.593pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.384,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.962,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="27.175183800000003 -11.5914 29.246 15.0208" width="29.246pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.225,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.856,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.354,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,48.84,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="59.326183799999995 -11.5914 31.861 15.0208" width="31.861pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,59.376,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,65.478,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,69.976,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z" id="g113-92"></path> </g> <g transform="matrix(.013,0,0,-0.013,74.46,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,83.606,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="94.0921838 -11.5914 23.218 15.0208" width="23.218pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,94.142,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,100.723,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,109.729,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="120.21618380000001 -11.5914 53.951 15.0208" width="53.951pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,120.266,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,124.764,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,134.25,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,144.786,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,150.887,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,155.385,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.013,0,0,-0.013,166.586,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="177.0721838 -11.5914 17.727 15.0208" width="17.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,177.122,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,185.418,-5.741)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,190.364,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg></span>。</p> <p>解析解(<a href="#EEq13">16</a>)<span class="equation_break" id="EEq14"><span class="left_break" id="L84"></span><span class="middle_break"><span class="center_break" id="M84"> <svg height="44.1pt" id="M84-1" version="1.1" viewbox="0 0 146.27 44.1" width="146.27pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B84-1"> <g transform="matrix(.013,0,0,-0.013,0,31.445)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.47,34.577)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.36,34.577)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.47,31.445)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.92,16.269)"> <path d="M473 -672C287 -482 178 -118 178 271C178 661 285 1024 473 1214L447 1243C202 1022 91 668 91 272V271C91 -129 202 -485 447 -701L473 -672Z" id="g119-149"></path> </g> <g transform="matrix(.013,0,0,-0.013,38.23,16.269)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.86,16.269)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.25,19.401)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,61.1,16.269)"> <path d="M535 290V340H323V533H265V340H52V290H265V84H323V290H535ZM535 -22V28H52V-22H535Z" id="g117-37"></path> </g> <g transform="matrix(.013,0,0,-0.013,71.63,15.616)"> <path d="M772 1098H727L517 -348H515L294 324L133 259L147 224L245 263L524 -588H526L772 1098Z" id="g119-122"></path> </g> <rect height="0.65243" width="57.1345" x="81.85" y="1.289"></rect> <g transform="matrix(.013,0,0,-0.013,81.85,16.269)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,89.56,11.718)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,89.24,20.128)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,97.41,16.269)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,107.95,16.269)"> <use xlink:href="#g113-53"></use> </g> <g transform="matrix(.013,0,0,-0.013,114.19,16.269)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,121.57,19.401)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,126.52,16.269)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,133.91,19.401)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,138.99,16.269)"> <path d="M469 271V272C469 668 358 1022 113 1243L87 1214C275 1024 382 661 382 271C382 -118 273 -482 87 -672L113 -701C358 -485 469 -129 469 271Z" id="g119-150"></path> </g> <rect height="0.65243" width="115.455" x="30.92" y="27.791"></rect> <g transform="matrix(.013,0,0,-0.013,79.34,40.671)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,85.58,40.671)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,92.96,43.802)"> <use xlink:href="#g50-51"></use> </g> </g> </svg></span></span><span class="right_break" id="R84"> <svg class="label" height="11.44pt" id="M84-2" version="1.1" viewbox="0 0 19.338 11.44" width="19.338pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B84-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.81,9.26)"> <use xlink:href="#g190-223"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.84,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>给两个不同的值:<span class="inline_break"> <svg height="14.7318pt" id="M85" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -11.4361 34.433 14.7318" width="34.433pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.539,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z" id="g50-31"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,10.359,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.244,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.194,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.802,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="14.7318pt" style="vertical-align:-3.2957pt" version="1.1" viewbox="38.015183799999996 -11.4361 21.684 14.7318" width="21.684pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,38.065,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.305,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.269,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,53.509,0)"> <use xlink:href="#g113-52"></use> </g> </svg></span>和<span class="inline_break"> <svg height="14.7318pt" id="M86" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -11.4361 37.483 14.7318" width="37.483pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.539,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.578,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.41,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,16.295,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,21.245,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.852,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="14.7318pt" style="vertical-align:-3.2957pt" version="1.1" viewbox="41.0651838 -11.4361 27.925 14.7318" width="27.925pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,41.115,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.355,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,50.319,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.559,0)"> <use xlink:href="#g113-53"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.8,0)"> <path d="M447 623H65C61 580 56 530 47 475H76C100 541 106 550 172 550H388C308 376 196 170 91 -1L98 -12L172 -2C268 204 360 408 455 611L447 623Z" id="g113-56"></path> </g> </svg></span>。最后,我们获得<span class="inline_break"> <svg height="14.7318pt" id="M87" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -11.4361 26.099 14.7318" width="26.099pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.474,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.359,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.468,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="14.7318pt" style="vertical-align:-3.2957pt" version="1.1" viewbox="29.681183800000003 -11.4361 49.224 14.7318" width="49.224pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,29.731,0)"> <use xlink:href="#g121-107"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.339,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z" id="g121-95"></path> </g> <g transform="matrix(.013,0,0,-0.013,46.046,0)"> <path d="M474 0V26C414 34 401 43 364 100L267 248C300 297 324 332 345 358C381 400 394 405 455 411V437H272V411C316 406 323 401 305 370C287 337 267 306 247 276L188 369C169 397 173 405 215 411V437H16V411C71 404 83 396 114 348L201 212C171 167 144 127 116 92C77 42 66 34 4 26V0H190V26C139 34 136 43 156 77C175 113 198 150 220 183L294 66C311 39 302 31 260 26V0H474Z" id="g121-118"></path> </g> <g transform="matrix(.013,0,0,-0.013,52.208,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.706,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,63.18,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.065,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.016,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,75.991,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="14.7318pt" style="vertical-align:-3.2957pt" version="1.1" viewbox="81.0841838 -11.4361 26.134 14.7318" width="26.134pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,81.134,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,87.674,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,91.493,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,94.378,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,99.329,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,104.304,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="14.7318pt" style="vertical-align:-3.2957pt" version="1.1" viewbox="109.39718380000001 -11.4361 30.719 14.7318" width="30.719pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,109.447,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,115.987,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,119.025,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,122.857,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,125.742,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,130.692,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,135.668,0)"> <use xlink:href="#g113-42"></use> </g> </svg></span>= 3.23,这是一个很好的协议与数值结果,来自图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig2/" target="_blank">2 (b)</a>,在那里<svg height="13.639pt" id="M88" style="vertical-align:-4.35067pt" version="1.1" viewbox="-0.0498162 -9.28833 35.447 13.639" width="35.447pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g121-80"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.243,0)"> <use xlink:href="#g121-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.947,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.708,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.14,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,30.296,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>穿过横坐标轴<span class="inline_break"> <svg height="12.584pt" id="M89" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 26.099 12.584" width="26.099pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.474,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.359,3.132)"> <use xlink:href="#g58-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.468,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.584pt" style="vertical-align:-3.29567pt" version="1.1" viewbox="29.681183800000003 -9.28833 21.685 12.584" width="21.685pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,29.731,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.972,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.936,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.176,0)"> <use xlink:href="#g113-52"></use> </g> </svg></span>。</p> <h4 id="numerical-results">3所示。数值结果</h4> <p>系统(<a href="#EEq4">5</a>使用M)数值求解<small class="sc">ATHEMATICA</small>,9.0版本的软件包。结果呈现在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3</a>。的波形是变量<svg height="11.5564pt" id="M90" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 31.6515 11.5564" width="31.6515pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.005,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,22.503,0)"> <path d="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 59C126 59 120 70 131 125L186 390L298 394L324 430Z" id="g113-117"></path> </g> <g transform="matrix(.013,0,0,-0.013,26.936,0)"> <use xlink:href="#g113-42"></use> </g> </svg>(图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3(一个)</a>)和个人的振荡器<svg height="12.4698pt" id="M91" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 25.7544 12.4698" width="25.7544pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.148,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.646,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.08,0)"> <use xlink:href="#g113-42"></use> </g> </svg>(图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3 (b)</a>),看起来几乎一样,因为数组是同步的。其他变量<svg height="12.5794pt" id="M92" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 23.8637 12.5794" width="23.8637pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.258,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.756,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.189,0)"> <use xlink:href="#g113-42"></use> </g> </svg>,而不是显示在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3</a>,也有类似的形式,只有小相移,为不全同的元素如预期。的主要区别是UFP值<svg height="9.25202pt" id="M93" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 14.8326 9.25202" width="14.8326pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.634,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg>由于不同的偏差参数<svg height="9.25202pt" id="M94" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 7.34395 9.25202" width="7.34395pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-100"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.173,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg>。不动点之间的差异<svg height="9.25202pt" id="M95" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 14.8326 9.25202" width="14.8326pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.634,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg>个人的振荡器(<span class="inline_break"> <svg height="10.2124pt" id="M96" style="vertical-align:-1.576501pt" version="1.1" viewbox="-0.0498162 -8.6359 14.812 10.2124" width="14.812pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.181,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="18.3941838 -8.6359 20.587 10.2124" width="20.587pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,18.444,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.684,0)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.827,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.067,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="41.1601838 -8.6359 18.427 10.2124" width="18.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,41.21,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.353,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.496,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.673,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="61.7661838 -8.6359 12.48 10.2124" width="12.48pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,61.816,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.056,0)"> <use xlink:href="#g113-53"></use> </g> </svg></span>)由定点了光谱,呈现在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig4/" target="_blank">4</a>。</p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-32194e66bca77a63408bc46e0cd9db23"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.003a.jpg"> <br> <strong>(一)</strong> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.003b.jpg"> <br> <strong>(b)</strong> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(c)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.003c.jpg"> <br> <strong>(c)</strong> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(d)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.003d.jpg"> <br> <strong>(d)</strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-32194e66bca77a63408bc46e0cd9db23 partial-carousel-thumbnail"> <button aria-label="Slide to (a) " class="partial-carousel-dot"><img loading="lazy" alt="(一)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.003a_th.jpg"><br><strong>(一)</strong></button> <button aria-label="Slide to (b) " class="partial-carousel-dot"><img loading="lazy" alt="(b)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.003b_th.jpg"><br><strong>(b)</strong></button> <button aria-label="Slide to (c) " class="partial-carousel-dot"><img loading="lazy" alt="(c)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.003c_th.jpg"><br><strong>(c)</strong></button> <button aria-label="Slide to (d) " class="partial-carousel-dot"><img loading="lazy" alt="(d)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.003d_th.jpg"><br><strong>(d)</strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-32194e66bca77a63408bc46e0cd9db23 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</span> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 波形(<a href="#EEq4">5</a>)。(一)平均场变量<svg height="11.439pt" id="M97" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 18.1721 11.439" width="18.1721pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> </svg>同步的数组,(b)动态变量<svg height="9.14241pt" id="M98" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -5.96091 12.2751 9.14241" width="12.2751pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>第一振荡器,(c)平均场变量<svg height="11.439pt" id="M99" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 18.1721 11.439" width="18.1721pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> </svg>同步的数组(分开),(d)控制项<span class="inline_break"> <svg height="11.439pt" id="M100" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 17.012 11.439" width="17.012pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.381,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="11.439pt" style="vertical-align:-2.15067pt" version="1.1" viewbox="19.867183800000003 -9.28833 18.005 11.439" width="18.005pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,19.917,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.286,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.553,0)"> <use xlink:href="#g113-63"></use> </g> </svg></span>。<span class="inline_break"> <svg height="8.8423pt" id="M101" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 22.173 8.8423" width="22.173pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.542,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="8.8423pt" style="vertical-align:-0.2064009pt" version="1.1" viewbox="25.7551838 -8.6359 12.48 8.8423" width="12.48pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,25.805,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.045,0)"> <use xlink:href="#g113-53"></use> </g> </svg></span>,<span class="inline_break"> <svg height="9.49473pt" id="M102" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 17.802 9.49473" width="17.802pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.171,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="9.49473pt" style="vertical-align:-0.2063999pt" version="1.1" viewbox="21.384183800000002 -9.28833 15.444 9.49473" width="15.444pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.434,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,27.674,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.638,0)"> <use xlink:href="#g113-53"></use> </g> </svg></span>,<span class="inline_break"> <svg height="8.55521pt" id="M103" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 17.843 8.55521" width="17.843pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.212,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="8.55521pt" style="vertical-align:-0.2063904pt" version="1.1" viewbox="21.425183800000003 -8.34882 15.444 8.55521" width="15.444pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.475,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,27.715,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.679,0)"> <use xlink:href="#g113-53"></use> </g> </svg></span>,<span class="inline_break"> <svg height="9.49473pt" id="M104" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 17.364 9.49473" width="17.364pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.733,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="9.49473pt" style="vertical-align:-0.2063999pt" version="1.1" viewbox="20.9461838 -9.28833 21.684 9.49473" width="21.684pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,20.996,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,27.236,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.2,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.44,0)"> <use xlink:href="#g113-55"></use> </g> </svg></span>,<span class="inline_break"> <svg height="12.5794pt" id="M105" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 18.491 12.5794" width="18.491pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-100"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.173,3.132)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.86,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="22.073183800000002 -9.28833 27.041 12.5794" width="27.041pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,22.123,0)"> <use xlink:href="#g113-53"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.364,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.604,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.568,0)"> <use xlink:href="#g113-54"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.808,0)"> <use xlink:href="#g113-48"></use> </g> </svg><span class="isep"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="49.119183799999995 -9.28833 27.515 12.5794" width="27.515pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,49.169,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,53.667,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,59.907,0)"> <use xlink:href="#g113-53"></use> </g> <g transform="matrix(.013,0,0,-0.013,69.053,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="79.54018380000001 -9.28833 8.047 12.5794" width="8.047pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,79.59,0)"> <use xlink:href="#g113-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,83.139,0)"> <use xlink:href="#g113-42"></use> </g> </svg></span>,在那里<span class="inline_break"> <svg height="10.2124pt" id="M106" style="vertical-align:-1.576501pt" version="1.1" viewbox="-0.0498162 -8.6359 14.812 10.2124" width="14.812pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.181,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="18.3941838 -8.6359 20.587 10.2124" width="20.587pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,18.444,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.684,0)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.827,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.067,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="41.1601838 -8.6359 18.427 10.2124" width="18.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,41.21,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.353,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.496,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.673,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="61.7661838 -8.6359 10.907 10.2124" width="10.907pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,61.816,0)"> <use xlink:href="#g113-79"></use> </g> </svg></span>,<span class="inline_break"> <svg height="9.49473pt" id="M107" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 18.478 9.49473" width="18.478pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.847,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="9.49473pt" style="vertical-align:-0.2063999pt" version="1.1" viewbox="22.0601838 -9.28833 12.48 9.49473" width="12.48pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,22.11,0)"> <use xlink:href="#g113-55"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.35,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>,<span class="inline_break"> <svg height="11.7782pt" id="M108" style="vertical-align:-3.42938pt" version="1.1" viewbox="-0.0498162 -8.34882 18.661 11.7782" width="18.661pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-104"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.03,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.7782pt" style="vertical-align:-3.42938pt" version="1.1" viewbox="22.2431838 -8.34882 15.444 11.7782" width="15.444pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,22.293,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.533,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.497,0)"> <use xlink:href="#g113-53"></use> </g> </svg></span>,<span class="inline_break"> <svg height="13.8778pt" id="M109" style="vertical-align:-5.52898pt" version="1.1" viewbox="-0.0498162 -8.34882 25.612 13.8778" width="25.612pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.969,3.132)"> <use xlink:href="#g50-103"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.981,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="13.8778pt" style="vertical-align:-5.52898pt" version="1.1" viewbox="29.1941838 -8.34882 21.684 13.8778" width="21.684pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,29.244,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.484,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.448,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.688,0)"> <use xlink:href="#g113-54"></use> </g> </svg></span>。控制开启<span class="inline_break"> <svg height="8.55521pt" id="M110" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 15.696 8.55521" width="15.696pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.065,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="8.55521pt" style="vertical-align:-0.2063904pt" version="1.1" viewbox="19.2781838 -8.34882 18.72 8.55521" width="18.72pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,19.328,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.568,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.808,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>;在(a)、(b)和(d)<svg height="11.439pt" id="M111" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 18.1721 11.439" width="18.1721pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> </svg>在耦合项是所取代<我>z</我>;在整个控制项(c)<span class="inline_break"> <svg height="12.5794pt" id="M112" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 28.049 12.5794" width="28.049pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.539,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.037,0)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.418,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="30.904183800000002 -9.28833 14.756 12.5794" width="14.756pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,30.954,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,38.156,3.132)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.212,0)"> <use xlink:href="#g113-42"></use> </g> </svg></span>应用。</d我v> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-5321b7e896710bccf7bcd7f00fee85c9"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.004a.jpg"> <br> <strong>(一)</strong> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.004b.jpg"> <br> <strong>(b)</strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-5321b7e896710bccf7bcd7f00fee85c9 partial-carousel-thumbnail"> <button aria-label="Slide to (a) " class="partial-carousel-dot"><img loading="lazy" alt="(一)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.004a_th.jpg"><br><strong>(一)</strong></button> <button aria-label="Slide to (b) " class="partial-carousel-dot"><img loading="lazy" alt="(b)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.004b_th.jpg"><br><strong>(b)</strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-5321b7e896710bccf7bcd7f00fee85c9 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</span> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2017/4324879/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 不动点光谱<svg height="9.25202pt" id="M113" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 14.8326 9.25202" width="14.8326pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.634,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg>(<span class="inline_break"> <svg height="10.2124pt" id="M114" style="vertical-align:-1.576501pt" version="1.1" viewbox="-0.0498162 -8.6359 14.812 10.2124" width="14.812pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.181,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="18.3941838 -8.6359 20.587 10.2124" width="20.587pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,18.444,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.684,0)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.827,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.067,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="41.1601838 -8.6359 18.427 10.2124" width="18.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,41.21,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.353,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.496,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.673,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="61.7661838 -8.6359 12.48 10.2124" width="12.48pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,61.816,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.056,0)"> <use xlink:href="#g113-53"></use> </g> </svg></span>)。(一)同步的(非耦合)振荡器(<a href="#EEq5">8</a>)和(b)稳定振荡的数值解(<a href="#EEq4">5</a>)<span class="inline_break"> <svg height="8.55521pt" id="M115" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 15.696 8.55521" width="15.696pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.065,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="8.55521pt" style="vertical-align:-0.2063904pt" version="1.1" viewbox="19.2781838 -8.34882 18.72 8.55521" width="18.72pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,19.328,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.568,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.808,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>。标题的参数是一样的人物<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3</a>。越高,光谱中的较粗的线表示平均场固定的点<svg height="12.5794pt" id="M116" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 23.1186 12.5794" width="23.1186pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.005,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>。</d我v> </div> </div> </div> <p>值得注意的是,稳定可以实现UFP的同步(分开)数组(图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3 (c)</a>)应用整个控制项<span class="inline_break"> <svg height="12.5794pt" id="M117" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 28.049 12.5794" width="28.049pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.539,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.037,0)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.418,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="30.904183800000002 -9.28833 14.756 12.5794" width="14.756pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,30.954,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,38.156,3.132)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.212,0)"> <use xlink:href="#g113-42"></use> </g> </svg></span>在(<a href="#EEq4">5</a>)<span class="inline_break"> <svg height="8.55521pt" id="M118" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 15.696 8.55521" width="15.696pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.065,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="8.55521pt" style="vertical-align:-0.2063904pt" version="1.1" viewbox="19.2781838 -8.34882 18.72 8.55521" width="18.72pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,19.328,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.568,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.808,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>足够大的系数<span class="inline_break"> <svg height="12.584pt" id="M119" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 17.802 12.584" width="17.802pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.171,0)"> <use xlink:href="#g117-92"></use> </g> </svg><span class="irelop"></span> <svg height="12.584pt" style="vertical-align:-3.29567pt" version="1.1" viewbox="21.384183800000002 -9.28833 14.309 12.584" width="14.309pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.434,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,27.908,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,30.793,3.132)"> <use xlink:href="#g58-102"></use> </g> </svg></span>。然而,这一特性非常重要,从理论的角度。这个词<span class="inline_break"> <svg height="12.5794pt" id="M120" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 28.049 12.5794" width="28.049pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.539,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.037,0)"> <use xlink:href="#g113-123"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.418,0)"> <use xlink:href="#g117-33"></use> </g> </svg><span class="ibiop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="30.904183800000002 -9.28833 14.756 12.5794" width="14.756pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,30.954,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,38.156,3.132)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.212,0)"> <use xlink:href="#g113-42"></use> </g> </svg></span>在(<a href="#EEq4">5</a>每个人都可以)意味着它控制振荡器”<svg height="8.8423pt" id="M121" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 3.66193 8.8423" width="3.66193pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-106"></use> </g> </svg>”。很容易在一个数学模型,但是在实践(实验)的情况下,它需要直接访问每一个神经元振荡器。此外,从实用的角度,特别是对于一个可能的应用程序不需要神经系统稳定UFP,如果振荡器不同步。同步振荡器产生低意味着,左手部分(即可见一斑<span class="inline_break"> <svg height="8.98582pt" id="M122" style="vertical-align:-0.6370001pt" version="1.1" viewbox="-0.0498162 -8.34882 17.503 8.98582" width="17.503pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.872,0)"> <use xlink:href="#g117-91"></use> </g> </svg><span class="irelop"></span> <svg height="8.98582pt" style="vertical-align:-0.6370001pt" version="1.1" viewbox="21.085183800000003 -8.34882 15.696 8.98582" width="15.696pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.135,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.2,0)"> <use xlink:href="#g117-91"></use> </g> </svg><span class="irelop"></span> <svg height="8.98582pt" style="vertical-align:-0.6370001pt" version="1.1" viewbox="40.4131838 -8.34882 18.72 8.98582" width="18.72pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,40.463,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.703,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,52.943,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>在图)的阴谋<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3 (c)</a>。对于较大的数组<span class="inline_break"> <svg height="9.2729pt" id="M123" style="vertical-align:-0.6370001pt" version="1.1" viewbox="-0.0498162 -8.6359 22.173 9.2729" width="22.173pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.542,0)"> <use xlink:href="#g117-92"></use> </g> </svg><span class="irelop"></span> <svg height="9.2729pt" style="vertical-align:-0.6370001pt" version="1.1" viewbox="25.7551838 -8.6359 18.72 9.2729" width="18.72pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,25.805,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.045,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.285,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>,意味着领域变得更低。我们回想一下,在本文中,我们考虑的情况下耦合和同步振荡。</p> <p>在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig4/" target="_blank">4(一)</a>,<span class="inline_break"> <svg height="12.5794pt" id="M124" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 34.215 12.5794" width="34.215pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.005,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.584,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="37.796183799999994 -9.28833 35.556 12.5794" width="35.556pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,37.846,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.477,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.717,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.681,0)"> <use xlink:href="#g113-53"></use> </g> <g transform="matrix(.013,0,0,-0.013,60.922,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.162,0)"> <use xlink:href="#g113-53"></use> </g> </svg></span>是在良好的协议与计算出的值(<a href="#EEq5">9</a>)。在耦合的情况下,稳定的数组(图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3 (b)</a>)光谱窄与非耦合振子的情况相比,由于振子之间的强相互作用。在数据<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3(一个)</a>,<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3 (c)</a>,<a href="//www.newsama.com/journals/complexity/2017/4324879/fig4/" target="_blank">4 (b)</a><span class="inline_break"> <svg height="12.5794pt" id="M125" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 34.215 12.5794" width="34.215pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.005,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.584,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="37.796183799999994 -9.28833 35.556 12.5794" width="35.556pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,37.846,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.477,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.717,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.681,0)"> <use xlink:href="#g113-53"></use> </g> <g transform="matrix(.013,0,0,-0.013,60.922,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.162,0)"> <use xlink:href="#g113-53"></use> </g> </svg></span>。它的价值是一致的<svg height="12.5794pt" id="M126" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 23.1186 12.5794" width="23.1186pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-121"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.636,0)"> <use xlink:href="#g113-63"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.005,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig4/" target="_blank">4(一)</a>。</p> <h4 id="experimental-setup">4所示。实验装置</h4> <p>实验进行了使用电子模拟数组,由30平均场耦合FHN型振荡器和其他地方的详细描述<a href="#B32">32</a>]。这个电子数组被雇佣前实现实验都排斥同步(<a href="#B33">33</a>,<a href="#B34">34</a>)和平均场取消技术(<a href="#B34">34</a>,<a href="#B35">35</a>]。</p> <p>个体FHN振荡器类型呈现在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig5/" target="_blank">5(一个)</a>。无量纲变量<svg height="6.1673pt" id="M127" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 7.39387 6.1673" width="7.39387pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-121"></use> </g> </svg>,<svg height="9.39034pt" id="M128" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.65486 9.39034" width="7.65486pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-122"></use> </g> </svg>,<svg height="6.44133pt" id="M129" style="vertical-align:-0.29774pt" version="1.1" viewbox="-0.0498162 -6.14359 6.59789 6.44133" width="6.59789pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-123"></use> </g> </svg>,<我>t</我>,以及参数<svg height="6.1673pt" id="M130" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.7023 6.1673" width="6.7023pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> </svg>,<我>b</我>,<我>c</我>,<我>d</我>,<svg height="9.39034pt" id="M131" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-104"></use> </g> </svg>,<svg height="9.49473pt" id="M132" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.66314 9.49473" width="6.66314pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> </svg>介绍了(<a href="#EEq4">5</a>)、电气相关值的模拟电路(图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig5/" target="_blank">5</a>)在以下方式:<span class="equation_break" id="EEq15"><span class="left_break" id="L133"></span><span class="middle_break"><span class="center_break" id="M133"> <svg height="458.288pt" id="M133-1" version="1.1" viewbox="0 0 49.354 458.288" width="49.354pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B133-1"> <g transform="matrix(.013,0,0,-0.013,0,22.474)"> <use xlink:href="#g113-121"></use> </g> <g 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xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B133-11"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.83,9.26)"> <use xlink:href="#g190-152"></use> </g> <g transform="matrix(.013,0,0,-0.013,15,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>在这里<svg height="11.8174pt" id="M134" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 15.0179 11.8174" width="15.0179pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-87"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.332,3.132)"> <use xlink:href="#g50-69"></use> </g> </svg>断点电压的二极管的电流电压特性。</p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-4c1b6862855a4dcbc9d1b10819479f5f"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.005a.jpg"> <br> <strong>(一)</strong> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.005b.jpg"> <br> <strong>(b)</strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-4c1b6862855a4dcbc9d1b10819479f5f partial-carousel-thumbnail"> <button aria-label="Slide to (a) " class="partial-carousel-dot"><img loading="lazy" alt="(一)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.005a_th.jpg"><br><strong>(一)</strong></button> <button aria-label="Slide to (b) " class="partial-carousel-dot"><img loading="lazy" alt="(b)" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.005b_th.jpg"><br><strong>(b)</strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-4c1b6862855a4dcbc9d1b10819479f5f partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</span> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2017/4324879/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 电路图。(一)FHN不对称电子振荡器。办公自动化是一个运算放大器,例如,NE5534,<svg height="11.8174pt" id="M135" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 14.9762 11.8174" width="14.9762pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z" id="g113-69"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>和<svg height="11.8174pt" id="M136" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 14.9762 11.8174" width="14.9762pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>BAV99类型的二极管,<span class="inline_break"> <svg height="11.8174pt" id="M137" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 26.154 11.8174" width="26.154pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-87"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.332,3.132)"> <use xlink:href="#g50-69"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.523,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.8174pt" style="vertical-align:-3.1815pt" version="1.1" viewbox="29.736183800000003 -8.6359 15.444 11.8174" width="15.444pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,29.786,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.026,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.99,0)"> <use xlink:href="#g113-55"></use> </g> </svg></span>V。<span class="inline_break"> <svg height="8.8423pt" id="M138" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 18.448 8.8423" width="18.448pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-77"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.817,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="8.8423pt" style="vertical-align:-0.2064009pt" version="1.1" viewbox="22.0301838 -8.6359 12.48 8.8423" width="12.48pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,22.08,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.32,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>mH,<span class="inline_break"> <svg height="8.8423pt" id="M139" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 19.947 8.8423" width="19.947pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.316,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="8.8423pt" style="vertical-align:-0.2064009pt" version="1.1" viewbox="23.529183800000002 -8.6359 15.444 8.8423" width="15.444pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,23.579,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.819,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.783,0)"> <use xlink:href="#g113-52"></use> </g> </svg></span>nF,<span class="inline_break"> <svg height="11.8174pt" id="M140" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 24.295 11.8174" width="24.295pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.664,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.8174pt" style="vertical-align:-3.1815pt" version="1.1" viewbox="27.8771838 -8.6359 24.296 11.8174" width="24.296pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.927,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.013,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.592,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.8174pt" style="vertical-align:-3.1815pt" version="1.1" viewbox="55.8041838 -8.6359 6.24 11.8174" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,55.854,0)"> <use xlink:href="#g113-50"></use> </g> </svg></span>kΩ,<span class="inline_break"> <svg height="11.927pt" id="M141" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 24.295 11.927" width="24.295pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.664,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="27.8771838 -8.6359 18.72 11.927" width="18.72pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.927,0)"> <use xlink:href="#g113-54"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.167,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.407,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>Ω,<span class="inline_break"> <svg height="11.8174pt" id="M142" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 24.295 11.8174" width="24.295pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-53"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.664,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.8174pt" style="vertical-align:-3.1815pt" version="1.1" viewbox="27.8771838 -8.6359 12.48 11.8174" width="12.48pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.927,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.167,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>Ω,<span class="inline_break"> <svg height="11.927pt" id="M143" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 24.295 11.927" width="24.295pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-54"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.664,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="27.8771838 -8.6359 18.72 11.927" width="18.72pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.927,0)"> <use xlink:href="#g113-54"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.167,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.407,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>Ω(<span class="inline_break"> <svg height="11.927pt" id="M144" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 27.779 11.927" width="27.779pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-53"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.664,0)"> <use xlink:href="#g117-123"></use> </g> </svg><span class="irelop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="31.361183800000003 -8.6359 12.518 11.927" width="12.518pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,31.411,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,39.497,3.132)"> <use xlink:href="#g50-54"></use> </g> </svg></span>),<span class="inline_break"> <svg height="11.927pt" id="M145" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 24.295 11.927" width="24.295pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-55"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.664,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="27.8771838 -8.6359 18.722 11.927" width="18.722pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.927,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.167,0)"> <use xlink:href="#g113-56"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.409,0)"> <use xlink:href="#g113-54"></use> </g> </svg></span>Ω(外部220Ω电阻串联线圈的欧姆电阻55Ω),<svg height="11.927pt" id="M146" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.1624 11.927" width="13.1624pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-56"></use> </g> </svg>= (24 +<我>我</我>)kΩ,<span class="inline_break"> <svg height="10.2124pt" id="M147" style="vertical-align:-1.576501pt" version="1.1" viewbox="-0.0498162 -8.6359 14.812 10.2124" width="14.812pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.181,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="18.3941838 -8.6359 20.587 10.2124" width="20.587pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,18.444,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.684,0)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.827,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.067,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="41.1601838 -8.6359 18.427 10.2124" width="18.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,41.21,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.353,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.496,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.673,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="10.2124pt" style="vertical-align:-1.576501pt" version="1.1" viewbox="61.7661838 -8.6359 12.48 10.2124" width="12.48pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,61.816,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.056,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>,<span class="inline_break"> <svg height="11.927pt" id="M148" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 23.541 11.927" width="23.541pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-87"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.332,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.91,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="27.1231838 -8.6359 20.111 11.927" width="20.111pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.173,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.804,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.044,0)"> <use xlink:href="#g113-54"></use> </g> </svg></span>V。(b)一阶RC链。注意负电阻”<svg height="8.98583pt" id="M149" style="vertical-align:-0.3499308pt" version="1.1" viewbox="-0.0498162 -8.6359 15.9408 8.98583" width="15.9408pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.631,0)"> <use xlink:href="#g113-83"></use> </g> </svg>”,用来补偿积极缓冲电阻<svg height="14.1649pt" id="M150" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 13.9936 14.1649" width="13.9936pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-104"></use> </g> </svg>的网络(见图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig1/" target="_blank">1</a>)。电容的值<svg height="11.927pt" id="M151" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.6974 11.927" width="13.6974pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>在标题中指定图吗<a href="//www.newsama.com/journals/complexity/2017/4324879/fig7/" target="_blank">7</a>。</d我v> </div> </div> </div> <p>负电阻”<svg height="8.98583pt" id="M152" style="vertical-align:-0.3499308pt" version="1.1" viewbox="-0.0498162 -8.6359 15.9408 8.98583" width="15.9408pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.631,0)"> <use xlink:href="#g113-83"></use> </g> </svg>“在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig5/" target="_blank">5 (b)</a>已经实现的负阻抗变换器(图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig6/" target="_blank">6</a>)[<a href="#B36">36</a>]。NIC的输入电阻<span class="inline_break"> <svg height="11.8174pt" id="M153" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 27.447 11.8174" width="27.447pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <path d="M138 535C169 535 191 560 191 589C191 620 168 644 139 644S85 620 85 589C85 560 110 535 138 535ZM257 0V30C192 35 185 43 185 109V453C142 435 94 422 40 414V386C101 378 104 372 104 311V109C104 41 97 35 33 30V0H257Z" id="g58-103"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,10.588,3.132)"> <path d="M532 0V30C473 38 467 38 467 107V298C467 395 416 451 336 451C307 451 279 439 251 420C226 404 205 389 185 374V453C142 434 94 422 43 413V386C98 378 104 373 104 309V107C104 41 100 38 31 30V0H251V30C191 35 185 40 185 107V337C216 364 255 389 295 389C360 389 386 347 386 276V110C386 44 380 35 321 30V0H532Z" id="g58-108"></path> </g> <g transform="matrix(.013,0,0,-0.013,19.816,0)"> <use xlink:href="#g117-91"></use> </g> </svg><span class="irelop"></span> <svg height="11.8174pt" style="vertical-align:-3.1815pt" version="1.1" viewbox="31.0281838 -8.6359 6.24 11.8174" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,31.078,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>。电容器<svg height="11.927pt" id="M154" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.6974 11.927" width="13.6974pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>与负电阻”<svg height="8.98583pt" id="M155" style="vertical-align:-0.3499308pt" version="1.1" viewbox="-0.0498162 -8.6359 15.9408 8.98583" width="15.9408pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.631,0)"> <use xlink:href="#g113-83"></use> </g> </svg>”系列不应被混淆与不稳定的RC滤波器,用来稳定马鞍类UFP [<a href="#B25">25</a>,<a href="#B26">26</a>]。这里的“<svg height="8.98583pt" id="M156" style="vertical-align:-0.3499308pt" version="1.1" viewbox="-0.0498162 -8.6359 15.9408 8.98583" width="15.9408pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.631,0)"> <use xlink:href="#g113-83"></use> </g> </svg>“只是补偿积极缓冲电阻<svg height="14.1649pt" id="M157" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 13.9936 14.1649" width="13.9936pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-104"></use> </g> </svg>的网络。RC跟踪滤波器实际上是由耦合电阻<svg height="10.3089pt" id="M158" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -10.1025 14.3602 10.3089" width="14.3602pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.151,-5.741)"> <use xlink:href="#g50-43"></use> </g> </svg>(图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig1/" target="_blank">1</a>)和电容器<svg height="11.927pt" id="M159" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.6974 11.927" width="13.6974pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>;也看到截止频率的定义<svg height="11.4899pt" id="M160" style="vertical-align:-5.52899pt" version="1.1" viewbox="-0.0498162 -5.96091 14.479 11.4899" width="14.479pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-246"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.969,3.132)"> <use xlink:href="#g50-103"></use> </g> </svg>在(<a href="#EEq15">18</a>)。</p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-0568df9bfed8d9b49a01867c510047a4"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.006.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-0568df9bfed8d9b49a01867c510047a4 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.006_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-0568df9bfed8d9b49a01867c510047a4 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6</span> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2017/4324879/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 负阻抗变换器:有源电路实现的负电阻”<svg height="8.98583pt" id="M161" style="vertical-align:-0.3499308pt" version="1.1" viewbox="-0.0498162 -8.6359 15.9408 8.98583" width="15.9408pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.631,0)"> <use xlink:href="#g113-83"></use> </g> </svg>“在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig5/" target="_blank">5 (b)</a>。办公自动化是一个运算放大器,例如,NE5534。<span class="inline_break"> <svg height="11.927pt" id="M162" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 28.744 11.927" width="28.744pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.518,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.113,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="32.326183799999995 -8.6359 28.743 11.927" width="28.743pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,32.376,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,40.462,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,44.893,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,53.488,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="64.70118380000001 -8.6359 18.72 11.927" width="18.72pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,64.751,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,70.991,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,77.231,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>Ω。为<span class="inline_break"> <svg height="11.927pt" id="M163" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 28.744 11.927" width="28.744pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.518,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.113,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="32.326183799999995 -8.6359 16.949 11.927" width="16.949pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,32.376,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,40.462,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,44.893,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg></span>,<span class="inline_break"> <svg height="11.927pt" id="M164" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 27.447 11.927" width="27.447pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g58-103"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.588,3.132)"> <use xlink:href="#g58-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.816,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="31.0281838 -8.6359 24.581 11.927" width="24.581pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,31.078,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.709,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,46.795,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,51.227,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg></span>。电阻的值<svg height="11.927pt" id="M165" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 17.6107 11.927" width="17.6107pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.518,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>在标题中指定图吗<a href="//www.newsama.com/journals/complexity/2017/4324879/fig7/" target="_blank">7</a>。</d我v> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-f529268386af1b020170b03aa81bc33d"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/figures/4324879.fig.007.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-f529268386af1b020170b03aa81bc33d partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/complexity/volume-2017/4324879/thumbnails/4324879.fig.007_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-f529268386af1b020170b03aa81bc33d partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图7</span> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2017/4324879/fig7/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 实验波形,平均场电压<svg height="12.5794pt" id="M166" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 24.9193 12.5794" width="24.9193pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-61"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.369,0)"> <use xlink:href="#g113-87"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.701,3.132)"> <use xlink:href="#g50-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.383,0)"> <use xlink:href="#g113-63"></use> </g> </svg>,控制电流<svg height="11.9316pt" id="M167" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -8.6359 18.1039 11.9316" width="18.1039pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-74"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.719,3.132)"> <path d="M396 114C349 71 317 59 274 59C216 59 123 104 123 241C123 342 180 400 246 400C283 400 317 386 348 359C355 352 361 348 366 348C378 348 401 371 402 394C402 405 398 413 385 424C369 437 337 451 294 451H293C254 451 193 434 141 394C73 342 39 277 39 198C39 90 114 -12 243 -12C303 -12 371 31 415 90L396 114Z" id="g58-97"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.723,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.617,3.132)"> <path d="M185 344V453C137 433 92 421 41 413V386C100 378 104 375 104 310V106C104 41 97 35 33 30V0H268V30C190 35 185 41 185 107V283C206 340 240 371 267 371C282 371 296 364 310 351C316 344 325 343 336 348C357 357 369 378 369 399C369 424 345 451 310 451C262 451 219 397 187 344H185Z" id="g58-112"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,15.075,3.132)"> <path d="M244 0V30C178 35 170 41 170 107V710C136 697 72 680 18 675V647C83 642 89 639 89 572V107C89 43 80 35 16 30V0H244Z" id="g58-106"></path> </g> </svg>。箭头表示时间的时刻,当RC链(节点控制图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig5/" target="_blank">5 (b)</a>)连接到节点Ctrl图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig1/" target="_blank">1</a>(电子开关,控制器连接到阵列及其驱动程序不是如图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig1/" target="_blank">1</a>和<a href="//www.newsama.com/journals/complexity/2017/4324879/fig5/" target="_blank">5</a>为简单起见)。<span class="inline_break"> <svg height="8.8423pt" id="M168" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 22.173 8.8423" width="22.173pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.542,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="8.8423pt" style="vertical-align:-0.2064009pt" version="1.1" viewbox="25.7551838 -8.6359 12.48 8.8423" width="12.48pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,25.805,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.045,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>,<span class="inline_break"> <svg height="10.3089pt" id="M169" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -10.1025 25.493 10.3089" width="25.493pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.151,-5.741)"> <use xlink:href="#g50-43"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.862,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="10.3089pt" style="vertical-align:-0.2063999pt" version="1.1" viewbox="29.0751838 -10.1025 18.72 10.3089" width="18.72pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,29.125,0)"> <use xlink:href="#g113-54"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.365,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.605,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>Ω,<span class="inline_break"> <svg height="14.1649pt" id="M170" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 25.127 14.1649" width="25.127pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-104"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.496,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="14.1649pt" style="vertical-align:-5.529pt" version="1.1" viewbox="28.7081838 -8.6359 18.72 14.1649" width="18.72pt" 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<svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="32.326183799999995 -8.6359 18.72 11.927" width="18.72pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,32.376,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.616,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.856,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>Ω(<span class="inline_break"> <svg height="11.8174pt" id="M172" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 27.447 11.8174" width="27.447pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g58-103"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.588,3.132)"> <use xlink:href="#g58-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.816,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.8174pt" style="vertical-align:-3.1815pt" version="1.1" viewbox="31.0281838 -8.6359 26.351 11.8174" width="26.351pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,31.078,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.709,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.949,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.189,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>Ω;<span class="inline_break"> <svg height="14.1649pt" id="M173" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 24.4 14.1649" width="24.4pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-104"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.769,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="14.1649pt" style="vertical-align:-5.529pt" version="1.1" viewbox="27.256183800000002 -8.6359 27.446 14.1649" width="27.446pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,27.306,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,35.392,3.132)"> <use xlink:href="#g58-103"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,37.894,3.132)"> <use xlink:href="#g58-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.121,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="14.1649pt" style="vertical-align:-5.529pt" version="1.1" viewbox="58.3341838 -8.6359 6.24 14.1649" width="6.24pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,58.384,0)"> <use xlink:href="#g113-49"></use> </g> </svg></span>)。<span class="inline_break"> <svg height="11.927pt" id="M174" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 24.828 11.927" width="24.828pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.197,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="28.410183800000002 -8.6359 15.444 11.927" width="15.444pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,28.46,0)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.7,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.664,0)"> <use xlink:href="#g113-51"></use> </g> </svg></span> <i>μ</我>F。</d我v> </div> </div> </div> <h4 id="experimental-results">5。实验结果</h4> <p>实验波形已通过数码相机的屏幕多通道模拟示波器和图所示<a href="//www.newsama.com/journals/complexity/2017/4324879/fig7/" target="_blank">7</a>。</p> <p>数值结果(图相类似<a href="//www.newsama.com/journals/complexity/2017/4324879/fig3/" target="_blank">3</a>)实验波形图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig7/" target="_blank">7</a>展品负稳定状态(非零值是由于直流偏压<svg height="11.927pt" id="M175" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 12.4056 11.927" width="12.4056pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-87"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.332,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig5/" target="_blank">5(一个)</a>)。而控制电流<svg height="11.9316pt" id="M176" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -8.6359 18.1039 11.9316" width="18.1039pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-74"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.719,3.132)"> <use xlink:href="#g58-97"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.723,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.617,3.132)"> <use xlink:href="#g58-112"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.075,3.132)"> <use xlink:href="#g58-106"></use> </g> </svg>在图<a href="//www.newsama.com/journals/complexity/2017/4324879/fig7/" target="_blank">7</a>在相对较短的暂态过程之后就变得很小很小。</p> <h4 id="discussion">6。讨论</h4> <p>这里执行的调查本身并不是目的。这项研究的目的是实际的搜索技术抑制神经元活动数组。人们普遍认为强大的同步强化大脑神经元导致帕金森病的症状(<a href="#B37">37</a>]。</p> <p>潮湿的神经元飙升的一个最简单的方法是外部刺激大脑的某些区域,并有很强的高频(约100到150赫兹)周期性脉冲。这是一个传统的临床批准治疗帕金森病症状的患者,所谓脑深部电刺激(DBS) (<a href="#B38">38</a>- - - - - -<a href="#B40">40</a>]。不幸的是,DBS治疗往往是伴随着不良副作用。在最近的论文(<a href="#B41">41</a>- - - - - -<a href="#B43">43</a>),证明了高频迫使最终稳定的UFP神经元振荡器HH, FHN和其他神经元模型。两个缺点的DBS一直强调<a href="#B43">43</a>]。首先,尽管神经元抑制飙升,相对较高的振幅(10 - 20%)工件高频振荡。其次,固定的膜电压基本上从自然价值因为整流效应的细胞(<a href="#B43">43</a>]。这可能是一个副作用的原因。</p> <p>一些更复杂的方法来避免同步交互的振荡器一般,更具体地说可能应用程序描述了神经元阵列在文学,例如[<a href="#B33">33</a>,<a href="#B37">37</a>,<a href="#B44">44</a>- - - - - -<a href="#B54">54</a>]。</p> <p>具体地说,在<a href="#B47">47</a>)抑制同步耦合振子的一个被动的振荡器。控制器是一个四端三阶设备单独记录和现场应用电极。反馈回路包含一个二阶阻尼振子,一个积分器,一个加法器,两个放大器。我们的控制器是简单得多。这是一个双端一阶设备相同的电极电压传感和当前应用程序。控制器包含一个电容器和一个负阻抗变换器(NIC)基于一个运算放大器。网卡并不是必须的,如果缓冲阻力<svg height="14.1649pt" id="M177" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 13.9936 14.1649" width="13.9936pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"> <use xlink:href="#g50-104"></use> </g> </svg>很小。</p> <p>此外,最近发现振荡现象淬火系统的耦合非线性振荡器值得一提的是(<a href="#B55">55</a>- - - - - -<a href="#B58">58</a>]。它可以通过两种不同的机制,体现所谓的振荡振幅死亡和死亡。效果,尤其是振荡死亡,可以透视振动抑制的神经疾病,如帕金森病和特发性震颤。这种类型的振荡淬火取决于单个振子的固有参数,但更在路上和耦合的强度。振荡器的参数和参数的耦合可以很容易地控制人为的物理、化学、电子等系统。然而,这些参数难以调整的自然,例如,生物系统。因此,采用外部反馈循环的技术似乎是有利的解决方案。</p> <h4 id="conclusions">7所示。结论</h4> <p>耦合神经元振荡器类型的数组,特别是FitzHugh-Nagumo细胞,可以稳定通过一个电容器基于RC滤波器反馈技术。反馈信号变得很小很小,当UFP稳定,同样的反馈抑制同步中描述(<a href="#B47">47</a>]。这可以成为一个优势nonfeedback技术,例如,DBS雇佣外部高频周期强迫。</p> <p>我们未来的工作将集中在调查一个数组的弱耦合FHN振荡器(<我>k</我><<svg height="12.584pt" id="M178" style="vertical-align:-3.29567pt" version="1.1" viewbox="-0.0498162 -9.28833 14.9605 12.584" width="14.9605pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.474,3.132)"> <use xlink:href="#g58-114"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.359,3.132)"> <use xlink:href="#g58-102"></use> </g> </svg>),当UFP的稳定是不可能的。我们希望一个电容器基于RC滤波器可以使失调振荡器阵列,有些同样排斥耦合(<a href="#B33">33</a>,<a href="#B34">34</a>)和平均场放弃(<a href="#B34">34</a>,<a href="#B35">35</a>)技术。</p> <h4 id="conflicts-of-interest">的利益冲突</h4> <p>作者宣称没有利益冲突有关的出版。</p> <h4 id="acknowledgments">确认</h4> <p>作者感谢博士尼古拉Rulkov为关键的讨论结果,特别是对的建议强调控制的单个元素的影响和吸引他们的注意力,没有理由的数组,由(<a href="#EEq4">5</a>),前同步振荡控制项。作者也感谢教授Michael Rosenblum吸引他们的注意力,在文献[<a href="#B47">47</a>),以及抑制同步互动的一个单位,一个活跃的振荡器的稳定的被动振荡器,包括在反馈回路中,也是描述。</p> </div> </div> <div class="ArticleReferences_xmlContent__p_40j"> <h4 class="ArticleReferences_references__GH2t_" id="references">引用</h4> <ol 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