Relaying phase synchrony in chaotic oscillator chains

TL;DR

This paper investigates how external signals influence phase synchrony in chains of coupled chaotic oscillators, revealing differences between homogeneous and heterogeneous coupling schemes and their effects on synchronization regimes.

Contribution

It introduces a comparative analysis of homogeneous and heterogeneous coupling effects on phase synchrony in chaotic oscillator chains, highlighting the impact of coupling type on synchronization stability.

Findings

Heterogeneous couplings truncate synchronization regimes as the number of oscillators increases.

Homogeneous couplings maintain synchronization regimes despite increasing oscillators.

Chaotic R"ossler oscillators effectively illustrate the coupling effects on phase synchrony.

Abstract

We study the manner in which the effect of an external drive is transmitted through mutually coupled response systems by examining the phase synchrony between the drive and the response. Two different coupling schemes are used. Homogeneous couplings are via the same variables, while heterogeneous couplings are through different variables. With the latter scenario, synchronization regimes are truncated with increasing number of mutually coupled oscillators, in contrast to homogeneous coupling schemes. Our results are illustrated for systems of coupled chaotic R\"ossler oscillators.