Homoclinic bifurcation as a mechanism of chaotic phase synchronization

Authors
Postnov, DE Balanov, AG Janson, NB Mosekilde, E
Citation
De. Postnov et al., Homoclinic bifurcation as a mechanism of chaotic phase synchronization, PHYS REV L, 83(10), 1999, pp. 1942-1945
Citations number
18
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
83
Issue
10
Year of publication
1999
Pages
1942 - 1945
Database
ISI
SICI code
0031-9007(19990906)83:10<1942:HBAAMO>2.0.ZU;2-9
Abstract
This paper demonstrates a mechanism of chaotic phase synchronization in whi ch the transition from asynchronous to synchronous chaos is associated with the collision of the asynchronous chaotic attractor with an unstable perio dic orbit. This gives rise to a hysteretic transition with the two chaotic regimes coexisting over a certain parameter interval.