Homoclinic Bifurcation as a Mechanism of Chaotic Phase Synchronization

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

Phys. Rev. Lett. 83, 1942 – Published 6 September 1999

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.

Received 4 August 1998

DOI:https://doi.org/10.1103/PhysRevLett.83.1942

Authors & Affiliations

D. E. Postnov¹, A. G. Balanov¹, N. B. Janson¹, and E. Mosekilde²

¹Physics Department, Saratov State University, Astrakhanskaya 83, Saratov, 410026, Russia
²Department of Physics, The Technical University of Denmark, 2800 Lyngby, Denmark