Chimera states in a population of identical oscillators under planar cross-coupling
Chaotic Dynamics
2015-06-22 v1 Adaptation and Self-Organizing Systems
Abstract
We report the existence of a chimera state in an assembly of identical nonlinear oscillators that are globally linked to each other in a simple planar cross-coupled form. The rotational symmetry breaking of the coupling term appears to be responsible for the emergence of these collective states that display a characteristic coexistence of coherent and incoherent behaviour. Our finding, seen in both a collection of van der Pol oscillators and chaotic Rossler oscillators, further simplifies the existence criterion for chimeras and thereby broadens the range of their applicability to real world situations.
Keywords
Cite
@article{arxiv.1409.0647,
title = {Chimera states in a population of identical oscillators under planar cross-coupling},
author = {C. R. Hens and A. Mishra and P. K. Roy and A. Sen and S. K. Dana},
journal= {arXiv preprint arXiv:1409.0647},
year = {2015}
}