Nevin Manimala Statistics

Generalized synchronization mediated by a flat coupling between structurally nonequivalent chaotic systems

Chaos. 2023 Sep 1;33(9):093117. doi: 10.1063/5.0156025.


Synchronization of chaotic systems is usually investigated for structurally equivalent systems typically coupled through linear diffusive functions. Here, we focus on a particular type of coupling borrowed from a nonlinear control theory and based on the optimal placement of a sensor-a device measuring the chosen variable-and an actuator-a device applying the actuating (control) signal to a variable’s derivative-in the response system, leading to the so-called flat control law. We aim to investigate the dynamics produced by a response system that is flat coupled to a drive system and to determine the degree of generalized synchronization between them using statistical and topological arguments. The general use of a flat control law for getting generalized synchronization is discussed.

PMID:37703476 | DOI:10.1063/5.0156025

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