TY - JOUR A2 - Messias, Marcelo AU - d’Andrea, Valeria AU - De Domenico, Manlio PY - 2020 DA - 2020/07/22 TI - Compressing Phase Space Detects State Changes in Nonlinear Dynamical Systems SP - 8650742 VL - 2020 AB - Equations governing the nonlinear dynamics of complex systems are usually unknown, and indirect methods are used to reconstruct their manifolds. In turn, they depend on embedding parameters requiring other methods and long temporal sequences to be accurate. In this paper, we show that an optimal reconstruction can be achieved by lossless compression of system’s time course, providing a self-consistent analysis of its dynamics and a measure of its complexity, even for short sequences. Our measure of complexity detects system’s state changes such as weak synchronization phenomena, characterizing many systems, in one step, integrating results from Lyapunov and fractal analysis. SN - 1076-2787 UR - https://doi.org/10.1155/2020/8650742 DO - 10.1155/2020/8650742 JF - Complexity PB - Hindawi KW - ER -