Adaptive coupling for achieving stable synchronization of chaos

TL;DR

This paper introduces an adaptive coupling strategy to stabilize synchronization in coupled chaotic systems, dynamically adjusting coupling strength to achieve stable synchronized chaos.

Contribution

It proposes a novel adaptive method for coupling strength evolution to ensure stable synchronization in chaotic systems.

Findings

Adaptive strategy successfully stabilizes synchronization

Coupling strength converges to a synchronization-compatible value

Method effective in unidirectionally coupled chaotic systems

Abstract

We consider synchronization of coupled chaotic systems and propose an adaptive strategy that aims at evolving the strength of the coupling to achieve stability of the synchronized evolution. We test this idea in a simple configuration in which two chaotic systems are unidirectionally coupled (a sender and a receiver) and we study conditions for the receiver to adaptively synchronize with the sender. Numerical simulations show that, under certain conditions, our strategy is successful in dynamically evolving the coupling strength until it converges to a value that is compatible with synchronization.