Chimera patterns under the impact of noise

TL;DR

This paper explores how noise affects the stability and characteristics of chimera states, which are complex patterns of coexisting synchronized and desynchronized dynamics, in ring networks of Stuart-Landau oscillators.

Contribution

It provides a detailed analysis of the robustness of amplitude and chimera death states under noise and symmetry-breaking conditions, extending understanding of chimera dynamics.

Findings

Amplitude chimeras are long-living transients affected by noise.

Chimera death states exhibit robustness to noise.

Symmetries in initial conditions influence chimera pattern formation.

Abstract

We investigate two types of chimera states, i.e., patterns consisting of coexisting spatially separated domains with coherent and incoherent dynamics, in ring networks of Stuart-Landau oscillators with symmetry-breaking coupling, under the influence of noise. Amplitude chimeras are characterized by temporally periodic dynamics throughout the whole network, but spatially incoherent behavior with respect to the amplitudes in a part of the system; they are long-living transients. Chimera death states generalize chimeras to stationary inhomogeneous patterns (oscillation death), which combine spatially coherent and incoherent domains. We analyze the impact of random perturbations, addressing the question of robustness of chimera states in the presence of white noise. We further consider the effect of symmetries applied to random initial conditions.