Breathing multichimera states in nonlocally coupled phase oscillators

TL;DR

This paper demonstrates the existence of breathing multichimera states in nonlocally coupled phase oscillators, revealing their dynamic oscillatory behavior and bifurcation from stationary states through numerical and stability analysis.

Contribution

It is the first to numerically demonstrate breathing multichimera states and analyze their bifurcation from stationary states in such oscillator systems.

Findings

Breathing multichimera states exhibit oscillating global order parameters.

A Hopf bifurcation leads from stationary to breathing multichimera states.

Linear stability analysis confirms the bifurcation mechanism.

Abstract

Chimera states for the one-dimensional array of nonlocally coupled phase oscillators in the continuum limit are assumed to be stationary states in most studies, but a few studies report the existence of breathing chimera states. We focus on multichimera states with two coherent and incoherent regions, and numerically demonstrate that breathing multichimera states, whose global order parameter oscillates temporally, can appear. Moreover, we show that the system exhibits a Hopf bifurcation from a stationary multichimera to a breathing one by the linear stability analysis for the stationary multichimera.