Clustered chimera states in delay coupled oscillator systems
Pattern Formation and Solitons
2009-11-13 v1 Adaptation and Self-Organizing Systems
Abstract
We investigate "chimera" states in a ring of identical phase oscillators coupled in a time-delayed and spatially non-local fashion. We find novel "clustered chimera" states that have spatially distributed phase coherence separated by incoherence with adjacent coherent regions in anti-phase. The existence of such time-delay induced phase clustering is further supported through solutions of a generalized functional self-consistency equation of the mean field. Our results highlight an additional mechanism for cluster formation that may find wider practical applications.
Cite
@article{arxiv.0803.3491,
title = {Clustered chimera states in delay coupled oscillator systems},
author = {Gautam C. Sethia and Abhijit Sen and Fatihcan M. Atay},
journal= {arXiv preprint arXiv:0803.3491},
year = {2009}
}