Self-Emerging and Turbulent Chimeras in Oscillator Chains
Pattern Formation and Solitons
2015-05-18 v3
Abstract
We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e. a state with coexisting regions of complete and partial synchrony, emerges via a supercritical bifurcation from a homogeneous state and thus does not require preparation of special initial conditions. We develop a theory of chimera basing on the equations for the local complex order parameter in the Ott-Antonsen approximation. Applying a numerical linear stability analysis, we also describe the instability of the chimera and transition to a phase turbulence with persistent patches of synchrony.
Cite
@article{arxiv.1003.0589,
title = {Self-Emerging and Turbulent Chimeras in Oscillator Chains},
author = {G. Bordyugov and A. Pikovsky and M. Rosenblum},
journal= {arXiv preprint arXiv:1003.0589},
year = {2015}
}