Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
Chaotic Dynamics
2015-06-18 v2 Mathematical Physics
math.MP
Adaptation and Self-Organizing Systems
Pattern Formation and Solitons
Abstract
We report a novel mechanism for the formation of chimera states, a peculiar spatiotemporal pattern with coexisting synchronized and incoherent domains found in ensembles of identical oscillators. Considering Stuart-Landau oscillators we demonstrate that a nonlinear global coupling can induce this symmetry breaking. We find chimera states also in a spatially extended system, a modified complex Ginzburg-Landau equation. This theoretical prediction is validated with an oscillatory electrochemical system, the electrooxidation of silicon, where the spontaneous formation of chimeras is observed without any external feedback control.
Keywords
Cite
@article{arxiv.1312.3166,
title = {Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling},
author = {Lennart Schmidt and Konrad Schönleber and Katharina Krischer and Vladimir García-Morales},
journal= {arXiv preprint arXiv:1312.3166},
year = {2015}
}
Comments
7 pages, 5 figures, final version, accepted for publication in Chaos