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

Kuramoto, Yoshiki; Shima, Shin-ichiro; Battogtokh, Dorjsuren; Shiogai, Yuri

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

Kuramoto, Yoshiki; Shima, Shin-ichiro; Battogtokh, Dorjsuren et al.

Progress of Theoretical Physics Supplement, 2006, 161, 127-143

Permalink : https://hdl.handle.net/2115/11366

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アクセス権	open access
URI	https://hdl.handle.net/2115/11366
タイトル	Mean-Field Theory Revives in Self-Oscillatory Fields with Non-Local Coupling
著者	Kuramoto, Yoshiki ; Shima, Shin-ichiro ; Battogtokh, Dorjsuren ; Shiogai, Yuri
著者名 Kuramoto, Yoshiki
著者名 Shima, Shin-ichiro
著者名 Battogtokh, Dorjsuren
著者名 Shiogai, Yuri
言語	英語
発行日	2006
出版者	Progress of Theoretical Physics
出版者	理論物理学刊行会
収録物名	Progress of Theoretical Physics Supplement
巻(号)	161
ページ	127-143
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Copyright © 2006 Progress of Theoretical Physics
PISSN	0375-9687
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1143/PTPS.161.127