Adaptive synchronization of coupled chaotic oscillators

TL;DR

This paper introduces an adaptive method to maintain synchronization between coupled chaotic oscillators with unknown and changing coupling strength, demonstrated experimentally and through simulations, also estimating the time-varying coupling.

Contribution

The paper presents a novel adaptive synchronization technique for chaotic oscillators that handles unknown and time-varying coupling, with experimental validation.

Findings

Successfully synchronized optoelectronic chaotic systems with unknown coupling

Estimated the time-varying coupling strength in real-time

Maintained high-dimensional chaos synchronization despite environmental changes

Abstract

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to environmental parameter drift). The technique is applied to optoelectronic feedback loops exhibiting high dimensional chaotic dynamics. In addition to keeping the two systems isochronally synchronized in the presence of a priori unknown time-varying coupling strength, the technique provides an estimate of the time-varying coupling.