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Intermittent switching for three repulsively coupled oscillators
| 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)
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Submitter: 西浦 廉政
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