Dynamic synchronization of a time-evolving optical network of chaotic oscillators

TL;DR

This paper introduces an adaptive synchronization method for chaotic oscillator networks that maintains identical synchrony despite unknown and changing coupling strengths, demonstrated experimentally and supported by simulations.

Contribution

It proposes a novel adaptive algorithm for synchronizing chaotic networks with unknown, time-varying couplings, validated through experiments and stability analysis.

Findings

Successful experimental synchronization of three chaotic oscillators.

Numerical simulations extend the method to larger networks.

Stability analysis confirms robustness across topologies.

Abstract

We present and experimentally demonstrate a technique for achieving and maintaining a global state of identical synchrony of an arbitrary network of chaotic oscillators even when the coupling strengths are unknown and time-varying. At each node an adaptive synchronization algorithm dynamically estimates the current strength of the net coupling signal to that node. We experimentally demonstrate this scheme in a network of three bidirectionally coupled chaotic optoelectronic feedback loops and we present numerical simulations showing its application in larger networks. The stability of the synchronous state for arbitrary coupling topologies is analyzed via a master stability function approach.