Stable heteroclinic cycles for ensembles of chaotic oscillators

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


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
  • Published 6 August 2002

© 2002 The 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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