Riddling, bubbling, and Hopf bifurcation in coupled map systems

Authors
Yang, HL Pikovsky, AS
Citation
Hl. Yang et As. Pikovsky, Riddling, bubbling, and Hopf bifurcation in coupled map systems, PHYS REV E, 60(5), 1999, pp. 5474-5478
Citations number
20
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
5
Year of publication
1999
Part
A
Pages
5474 - 5478
Database
ISI
SICI code
1063-651X(199911)60:5<5474:RBAHBI>2.0.ZU;2-M
Abstract
In a simple coupled-map system, we show that the desynchronization of the c haotic attractor occurs through a series of Hopf bifurcations. As a result of the accumulation of these processes, the blowout bifurcation of this cou pled map system is a new kind of Hopf bifurcation from a chaotic attractor. Riddling, bubbling, and characters of this particular manifestation of Hop f bifurcation from a chaotic attractor are studied in this paper. [S1063-65 1X(99)14811-6].