Enhancing Synchrony in Chaotic Oscillators by Dynamic Relaying

TL;DR

This paper demonstrates that introducing a specific impurity in the inner oscillators of a chain can lower the coupling threshold for synchronization of the outer oscillators, with experimental validation in electronic circuits.

Contribution

It reveals that dynamic relaying via impurity in the inner oscillators enhances synchronization in chaotic systems, supported by theoretical and experimental evidence.

Findings

Coupling threshold decreases with impurity in inner oscillators

Enhancement observed in both Rössler and Mackey-Glass systems

Experimental verification in electronic circuits

Abstract

In a chain of mutually coupled oscillators, the coupling threshold for synchronization between the outermost identical oscillators decreases when a type of impurity (in terms of parameter mismatch) is introduced in the inner oscillator(s). The outer oscillators interact indirectly via dynamic relaying, mediated by the inner oscillator(s). We confirm this enhancing of critical coupling in the chaotic regimes of R\"ossler system in absence of coupling delay and in Mackey-Glass system with delay coupling. The enhancing effect is experimentally verified in electronic circuit of R\"ossler oscillators.