Clustered chimera states in delay coupled oscillator systems

Preprint

25 March 2008

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.0803.3491

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.

Keywords

OSCILLATOR SYSTEMS
COUPLED OSCILLATOR
CLUSTERED CHIMERA
CHIMERA STATES
TIME DELAYED
OSCILLATORS
FASHION

All Related Versions

Version 1, 2008-03-25, ArXiv
Published version: Physical Review Letters, 100 (14), 144102.

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