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Slow switching in globally coupled oscillators: robustness and occurrence through delayed coupling
| Title: | Slow switching in globally coupled oscillators: robustness and occurrence through delayed coupling |
| Authors: | Kori, Hiroshi Browse this author | | Kuramoto, Yoshiki Browse this author |
| Issue Date: | 29-Mar-2001 |
| Publisher: | American Physical Society |
| Journal Title: | Physical Review E |
| Volume: | 63 |
| Issue: | 4 |
| Start Page: | 046214 |
| Publisher DOI: | 10.1103/PhysRevE.63.046214 |
| Abstract: | The phenomenon of slow switching in populations of globally coupled oscillators is discussed. This characteristic collective dynamics, which was first discovered in a particular class of the phase oscillator model, is a result of the formation of a heteroclinic loop connecting a pair of clustered states of the population. We argue that the same behavior can arise in a wider class of oscillator models with the amplitude degree of freedom. We also argue how such heteroclinic loops arise inevitably and persist robustly in a homogeneous population of globally coupled oscillators. Although a heteroclinic loop might seem to arise only exceptionally, we find that it appears rather easily by introducing time delay into a population which would otherwise exhibit perfect phase synchrony. We argue that the appearance of the heteroclinic loop induced by the delayed coupling is then characterized by transcritical and saddle-node bifurcations. Slow switching arises when a system with a heteroclinic loop is weakly perturbed. This will be demonstrated with a vector model by applying weak noises. Other types of weak symmetry-breaking perturbations can also cause slow switching. ©2001 The American Physical Society. |
| Rights: | Copyright © 2001 American Physical Society |
| Relation: | http://www.aps.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/17207 |
| 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: 郡 宏
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