Homoclinic Bifurcation as a Mechanism of Chaotic Phase Synchronization

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

doi:10.1103/PhysRevLett.83.1942

Homoclinic Bifurcation as a Mechanism of Chaotic Phase Synchronization

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

Saratov State University

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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 language	English
Journal	Physical Review Letters
Volume	83
Issue number	10
Pages (from-to)	1942-1945
ISSN	0031-9007
DOIs	https://doi.org/10.1103/PhysRevLett.83.1942
Publication status	Published - 1999

Bibliographical note

Copyright (1999) by the American Physical Society.

Keywords

SYSTEMS
OSCILLATORS

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title = "Homoclinic Bifurcation as a Mechanism of Chaotic Phase Synchronization",

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.",

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Homoclinic Bifurcation as a Mechanism of Chaotic Phase Synchronization

Abstract

Bibliographical note

Keywords

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