Localized Patterns in Reaction-Diffusion Systems
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概要
- 論文の詳細を見る
A new chemical pattern is discussed, which is a propagationless solitary island in an infinite medium. We demonstrate analytically its existence and stability for a certain simple model. The localization turns out to be a consequence of the rapid diffusion of an inhibiting substance occurring in a potentially excitable system. In order to extract the important features of the localized pattern, the method of singular perturbation is employed, with the following results: (1) A stable motionless solitary pattern can exist either for a monostable or bistable system. (2) Under suitable conditions such a pattern undergoes the Hopf bifurcation, leading to a "breathing motion" of the activated droplet. The analysis is restricted to the one-dimensional case throughout.
- 理論物理学刊行会の論文
- 1980-01-25
著者
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KOGA Shinji
Diagnostics Research and Development Department, Asahi-Kasei Corporation
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KOGA Shinji
Department of Diagnostics Research & Development, Asahi Chemical Industry Co., Ltd.
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Kuramoto Y
Kyoto Univ. Kyoto Jpn
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Kuramoto Yoshiki
Department Of Mathematics Graduate School Of Science Hokkaido University
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KOGA Shinji
Department of Physics, Kyoto University
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KURAMOTO Yoshiki
Department of Physics, Kyoto University
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KURAMOTO Yoshiki
Department of Physics, Faculty of Science, Kyushu University
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