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

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概要

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• 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.

• 理論物理学刊行会の論文
• 2006-04-20

著者

• Battogtokh Dorjsuren

  Department Of Biology Virginia Polytechnic Institute And State University

• Battogtokh Dorjsuren

  Department Of Biology Virginia Polytechnic And State University

• Shima Shin-ichiro

  The Earth Simulator Center Japan Agency For Marine-earth Science And Technology

• KURAMOTO Yoshiki

  Department of Mathematics, Graduate School of Science, Hokkaido University

• SHIOGAI Yuri

  Department of Physics, Lancaster University

• Shiogai Yuri

  Department Of Physics Lancaster University

• Shiogai Yuri

  Department Of Physics Graduate School Of Sciences Kyoto University

• Kuramoto Yoshiki

  Department Of Mathematics Graduate School Of Science Hokkaido University

• BATTOGTOKH Dorjsuren

  Department of Biology, Virginia Polytechnic and State University

• SHIMA Shin-ichiro

  The Earth Simulator Center, Japan Agency for Marine-Earth Science and Technology

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