Globally clustered chimera states in delay--coupled populations

TL;DR

This paper discovers and explains globally clustered chimera states in delay-coupled oscillators, showing their breathing behavior, stability dependence on delay, and delay-induced frequency suppression, supported by numerical and theoretical analysis.

Contribution

It introduces the concept of globally clustered chimera states in delay-coupled populations and analyzes their dynamics and stability.

Findings

Chimera states can breathe periodically, aperiodically, or become unstable.

Coupling delay causes frequency suppression in desynchronized groups.

Theoretical explanations support numerical observations.

Abstract

We have identified the existence of globally clustered chimera states in delay coupled oscillator populations and find that these states can breathe periodically, aperiodically and become unstable depending upon the value of coupling delay. We also find that the coupling delay induces frequency suppression in the desynchronized group. We provide numerical evidence and theoretical explanations for the above results and discuss possible applications of the observed phenomena.