,
where f:ℝ→ℝ is a
nonlinear map, and α and β are nonnegative coupling
constants that satisfy the constraint
αi+βi<1, for all x∈ℝ, i=1,2,…,n. Sufficient conditions and ranges of adjustment
parameters that guarantee the local stability of a generic steady
state have been provided. Numerical simulations have demonstrated
the effectiveness and efficiency for this mechanism to stabilize
the system to a generic unstable steady state or a periodic orbit.">
在内部耦合映射格子系统的稳定</t我tle>
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<p>在这一页上</p>
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体积<!-- -->
<!-- -->2004年<!-- -->
<span class="sc-fZwumE cUsFHx">|</span>文章的ID<!-- -->
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<span class="sc-fZwumE cUsFHx">|</span>
<a class="sc-htpNat bUhGXt link sc-fQejPQ duuwge" href="https://doi.org/10.1155/S1026022604309027" aria-label="Doi-link">https://doi.org/10.1155/S1026022604309027</a>
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<p>未红黄<!-- -->,<!-- -->
<!-- -->”<span class="adjust-article-svg-size">在内部耦合映射格子系统的稳定</span>”,<!-- --><i>离散动力学性质和社会</我>,<!-- -->
<!-- -->卷。<!-- -->2004年<!-- -->,<!-- -->
<!-- -->文章的ID<!-- -->134585年<!-- -->,<!-- -->
<!-- -->12<!-- -->
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<!-- -->2004年<!-- -->。<!-- -->
<!-- -->https://doi.org/10.1155/S1026022604309027</p>
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<h1 class="sc-iRbamj jZOxOO sc-iSDuPN hHHqqR article_title adjust-article-svg-size heading-title">在内部耦合映射格子系统的稳定</h1>
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<span class="">未红黄<sup>1</sup></span>
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<p><sup>1</sup><span>分工经济、人文和社会科学学院,南洋理工大学,新加坡南洋大道</span></p>
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<span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">收到了</span>
<span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2003年9月24日</span>
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<h4 class="header" id="abstract">文摘</h4>
<p>自适应调整机制应用于稳定的内部耦合映射格子系统定义的<mml:math alttext="$x_{i,t+1}=G((1-\alpha _{i}-\beta_{i})x_{i,t}+\alpha_{i}x_{i+1,t}+\beta_{i}x_{i-1,t})$" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msub>
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x</mml:mi>
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我</mml:mi>
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=</mml:mo>
<mml:mi>
G</mml:mi>
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<mml:mi>
我</mml:mi>
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</mml:mrow>
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)</mml:mo>
</mml:mrow>
<mml:msub>
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x</mml:mi>
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我</mml:mi>
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,</mml:mo>
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</mml:mrow>
</mml:msub>
<mml:mo>
+</mml:mo>
<mml:msub>
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α</mml:mi>
<mml:mi>
我</mml:mi>
</mml:msub>
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<mml:mi>
x</mml:mi>
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<mml:mi>
我</mml:mi>
<mml:mo>
+</mml:mo>
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1</mml:mn>
<mml:mo>
,</mml:mo>
<mml:mi>
t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>
+</mml:mo>
<mml:msub>
<mml:mi>
β</mml:mi>
<mml:mi>
我</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>
x</mml:mi>
<mml:mrow>
<mml:mi>
我</mml:mi>
<mml:mo>
−</mml:mo>
<mml:mn>
1</mml:mn>
<mml:mo>
,</mml:mo>
<mml:mi>
t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>
)</mml:mo>
</mml:mrow>
</mml:math>,在那里<mml:math alttext="$f:\mathbb{R}\rightarrow\mathbb{R}$" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
f</mml:mi>
<mml:mo>
:</mml:mo>
<mml:mi>
ℝ</mml:mi>
<mml:mo>
→</mml:mo>
<mml:mi>
ℝ</mml:mi>
</mml:math>是一个非线性映射,<mml:math alttext="$\alpha$" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
α</mml:mi>
</mml:math>和<mml:math alttext="$\beta$" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
β</mml:mi>
</mml:math>满足约束的非负耦合常数吗<mml:math alttext="$\alpha_{i}+\beta_{i}<1$" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msub>
<mml:mi>
α</mml:mi>
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我</mml:mi>
</mml:msub>
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+</mml:mo>
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我</mml:mi>
</mml:msub>
<mml:mo>
<</mml:mo>
<mml:mn>
1</mml:mn>
</mml:math>,尽管<mml:math alttext="$ x\in\mathbb{R}$" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
x</mml:mi>
<mml:mo>
∈</mml:mo>
<mml:mi>
ℝ</mml:mi>
</mml:math>,<mml:math alttext="$i=1,2,\dotsc,n$" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
我</mml:mi>
<mml:mo>
=</mml:mo>
<mml:mn>
1</mml:mn>
<mml:mo>
,</mml:mo>
<mml:mn>
2</mml:mn>
<mml:mo>
,</mml:mo>
<mml:mo>
…</mml:mo>
<mml:mo>
,</mml:mo>
<mml:mi>
n</mml:mi>
</mml:math>。充分条件和范围的调整参数,保证当地提供了一个通用的稳定状态的稳定。数值模拟了该机制的有效性和效率稳定系统一般不稳定稳态或一个周期轨道。</p>
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<h4 class="copyright" id="copyright">版权</h4>
<p>版权©2004 Hindawi出版公司。这是一个开放的分布式下文章<a rel="license" href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</a>,它允许无限制的使用、分配和复制在任何媒介,提供最初的工作是正确引用。</p>
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的观点<span>121年</span>
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下载<span>527年</span>
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