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Intermittent switching for three repulsively coupled oscillators

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Title: Intermittent switching for three repulsively coupled oscillators
Authors: Ito, Kentaro Browse this author
Nishiura, Yasumasa Browse this author →KAKEN DB
Keywords: bifurcation
chaos
oscillators
switching
symmetry
PACS=05.45.Ac
PACS=05.45.Xt
PACS=82.40.Bj
Issue Date: Mar-2008
Publisher: American Physical Society
Journal Title: Physical Review. E, statistical, nonlinear, and soft matter physics
Volume: 77
Issue: 3
Start Page: 036224
Publisher DOI: 10.1103/PhysRevE.77.036224
PMID: 18517502
Abstract: We study intermittent switching behaviors in a system with three identical oscillators coupled diffusively and repulsively, to clarify a bifurcation scenario which generates such intermittent switching behaviors. We use the Stuart-Landau oscillator, which is a general form of Hopf bifurcation, and can describe both cases: limit cycle and inactive (i.e., non-self-oscillatory) cases. From a numerical study of the bifurcation structure, two different routes to chaos which has S3 symmetry were found. One is the sudden appearance of chaos as Pomeau-Manneville intermittency, which is found for the inactive case. In this case a trajectory shows switching among three mutually symmetric tori when a parameter exceeds critical value. The other route, which appears for the limit cycle case, consists of two parts: First, chaos with lower symmetry appears through period doubling, and after the two successive attractor-merging crises, chaos which has S3 symmetry appears. At each crisis, the attractor changes its symmetry.
Rights: ©2008 The American Physical Society
Type: article
URI: http://hdl.handle.net/2115/39896
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 西浦 廉政

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