Clustered Chimera States in Delay-Coupled Oscillator Systems

Gautam C. Sethia, Abhijit Sen, and Fatihcan M. Atay
Phys. Rev. Lett. 100, 144102 – Published 11 April 2008

Abstract

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.

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  • Received 29 November 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.144102

©2008 American Physical Society

Authors & Affiliations

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

  • *gautam@ipr.res.in

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Issue

Vol. 100, Iss. 14 — 11 April 2008

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