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Phys. Rev. E 66, 026201 (2002) [4 pages]

Stable heteroclinic cycles for ensembles of chaotic oscillators

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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

Received 2 November 2001; published 6 August 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.66.026201
DOI:
10.1103/PhysRevE.66.026201
PACS:
05.45.Xt