Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media
Pattern Formation and Solitons
2015-06-11 v2 Adaptation and Self-Organizing Systems
Chaotic Dynamics
Abstract
We study an oscillatory medium with a nonlinear global coupling that gives rise to a harmonic mean-field oscillation with constant amplitude and frequency. Two types of cluster states are found, each undergoing a symmetry-breaking transition towards a related chimera state. We demonstrate that the diffusional coupling is non-essential for these complex dynamics. Furthermore, we investigate localized turbulence and discuss whether it can be categorized as a chimera state.
Keywords
Cite
@article{arxiv.1503.04053,
title = {Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media},
author = {Lennart Schmidt and Katharina Krischer},
journal= {arXiv preprint arXiv:1503.04053},
year = {2015}
}