Stable heteroclinic cycles for ensembles of chaotic oscillators

A. S. Kuznetsov and J. Kurths
Phys. Rev. E 66, 026201 – Published 6 August 2002
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Abstract

We study the formation of synchronous clusters in ensembles of globally coupled chaotic oscillators. We reveal that at least three clusters of identical synchronization are formed in such a system for large enough values of coupling strength. Our main result is an unexpected intermittent process of clusterization. This process gives strong indication to the existence of a stable heteroclinic cycle.

  • Received 2 November 2001

DOI:https://doi.org/10.1103/PhysRevE.66.026201

©2002 American Physical Society

Authors & Affiliations

A. S. Kuznetsov1 and J. Kurths2

  • 1Institute of Applied Physics, RAS, 603950, Nizhny Novgorod, Russia
  • 2Department of Physics, University of Potsdam, Postfach 601553, D-14415 Potsdam, Germany

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Vol. 66, Iss. 2 — August 2002

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