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Slow switching in globally coupled oscillators: robustness and occurrence through delayed coupling

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タイトル: Slow switching in globally coupled oscillators: robustness and occurrence through delayed coupling
著者: Kori, Hiroshi 著作を一覧する
Kuramoto, Yoshiki 著作を一覧する
発行日: 2001年 3月29日
出版者: American Physical Society
誌名: Physical Review E
巻: 63
号: 4
開始ページ: 046214
出版社 DOI: 10.1103/PhysRevE.63.046214
抄録: 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
資料タイプ: article
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 郡 宏


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