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Mean-Field Theory Revives in Self-Oscillatory Fields with Non-Local Coupling
Title: | Mean-Field Theory Revives in Self-Oscillatory Fields with Non-Local Coupling |
Authors: | Kuramoto, Yoshiki Browse this author | Shima, Shin-ichiro Browse this author | Battogtokh, Dorjsuren Browse this author | Shiogai, Yuri Browse this author |
Issue Date: | 2006 |
Publisher: | Progress of Theoretical Physics |
Journal Title: | Progress of Theoretical Physics Supplement |
Volume: | 161 |
Start Page: | 127 |
End Page: | 143 |
Publisher DOI: | 10.1143/PTPS.161.127 |
Abstract: | A simple mean-field idea is applicable to the pattern dynamics of large assemblies of limit-cycle oscillators with non-local coupling. This is demonstrated by developing a mathematical theory for the following two specific examples of pattern dynamics. Firstly, we discuss propagation of phase waves in noisy oscillatory media, with particular concern with the existence of a critical condition for persistent propagation of the waves throughout the medium, and also with the possibility of noise-induced turbulence. Secondly, we discuss the existence of an exotic class of patterns peculiar to non-local coupling called chimera where the system is composed of two distinct domains, one coherent and the other incoherent, separated from each other with sharp boundaries. |
Rights: | Copyright © 2006 Progress of Theoretical Physics |
Type: | article |
URI: | http://hdl.handle.net/2115/11366 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 蔵本 由紀
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