Homoclinic Bifurcation as a Mechanism of Chaotic Phase Synchronization

D.E. Postnov, A.G. Balanov, N.B. Janson, Erik Mosekilde

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Abstract

This paper demonstrates a mechanism of chaotic phase synchronization in which the transition from asynchronous to synchronous chaos is associated with the collision of the asynchronous chaotic attractor with an unstable periodic orbit. This gives rise to a hysteretic transition with the two chaotic regimes coexisting over a certain parameter interval.
Original languageEnglish
JournalPhysical Review Letters
Volume83
Issue number10
Pages (from-to)1942-1945
ISSN0031-9007
DOIs
Publication statusPublished - 1999

Bibliographical note

Copyright (1999) by the American Physical Society.

Keywords

  • SYSTEMS
  • OSCILLATORS

Cite this

Postnov, D. E., Balanov, A. G., Janson, N. B., & Mosekilde, E. (1999). Homoclinic Bifurcation as a Mechanism of Chaotic Phase Synchronization. Physical Review Letters, 83(10), 1942-1945. https://doi.org/10.1103/PhysRevLett.83.1942