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.
Generalized synchronization mediated by a flat coupling between structurally nonequivalent chaotic systems
Christophe Letellier, Irene Sendiña-Nadal, I. Leyva, Jean-Pierre Barbot; Generalized synchronization mediated by a flat coupling between structurally nonequivalent chaotic systems. Chaos 1 September 2023; 33 (9): 093117. https://doi.org/10.1063/5.0156025
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