Chimera states in coupled sine-circle map lattices

TL;DR

This paper demonstrates the existence of chimera states in coupled sine-circle map lattices, revealing complex spatio-temporal behaviors and analyzing their stability through numerical and analytical methods.

Contribution

It introduces a new system of coupled sine-circle maps exhibiting chimera states and provides a detailed stability and phase diagram analysis.

Findings

Chimera states are observed in coupled sine-circle map systems.

The system exhibits clustered chimera behavior similar to delay-coupled systems.

Rich spatio-temporal dynamics are characterized across different phase diagram regimes.

Abstract

Systems of coupled oscillators have been seen to exhibit chimera states, i.e. states where the system splits into two groups where one group is phase locked and the other is phase randomized. In this work, we report the existence of chimera states in a system of two interacting populations of sine circle maps. This system also exhibits the clustered chimera behavior seen earlier in delay coupled systems. Rich spatio-temporal behavior is seen in different regimes of the phase diagram.We carry out a detailed analysis of the stability regimes and map out the phase diagram using numerical and analytic techniques.