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Phys. Rev. Lett. 100, 144102 (2008) [4 pages]

Clustered Chimera States in Delay-Coupled Oscillator Systems

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Gautam C. Sethia* and Abhijit Sen
Institute for Plasma Research, Bhat, Gandhinagar 382 428, India

Fatihcan M. Atay
Max Planck Institute for Mathematics in the Sciences, Leipzig 04103, Germany

Received 29 November 2007; published 11 April 2008

We investigate chimera states in a ring of identical phase oscillators coupled in a time-delayed and spatially nonlocal fashion. We find novel clustered chimera states that have spatially distributed phase coherence separated by incoherence with adjacent coherent regions in antiphase. 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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.144102
DOI:
10.1103/PhysRevLett.100.144102
PACS:
05.45.Xt, 89.75.Kd

*gautam@ipr.res.in