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Mean-Field Theory Revives in Self-Oscillatory Fields with Non-Local Coupling

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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)

Submitter: 蔵本 由紀

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