Clustered chimera states in delay coupled oscillator systems

Gautam C. Sethia; Abhijit Sen; Fatihcan M. Atay

doi:10.1103/physrevlett.100.144102

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arXiv · 0803.3491

Clustered chimera states in delay coupled oscillator systems

Gautam C. Sethia·Abhijit Sen·Fatihcan M. Atay

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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.

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Gautam C. Sethia, Abhijit Sen, Fatihcan M. Atay. 2008-03-25. Clustered chimera states in delay coupled oscillator systems. https://doi.org/10.1103/physrevlett.100.144102

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