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Rotational motion of traveling spots in dissipative systems

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タイトル: Rotational motion of traveling spots in dissipative systems
著者: Teramoto, Takashi 著作を一覧する
Suzuki, Katsuya 著作を一覧する
Nishiura, Yasumasa 著作を一覧する
キーワード: bifurcation
partial differential equations
reaction-diffusion systems
発行日: 2009年10月
出版者: American Physical Society
誌名: Physical Review E
巻: 80
号: 4
開始ページ: 046208
出版社 DOI: 10.1103/PhysRevE.80.046208
抄録: What is the origin of rotational motion? An answer is presented through the study of the dynamics for spatially localized spots near codimension 2 singularity consisting of drift and peanut instabilities. The drift instability causes a head-tail asymmetry in spot shape, and the peanut one implies a deformation from circular to peanut shape. Rotational motion of spots can be produced by combining these instabilities in a class of three-component reaction-diffusion systems. Partial differential equations dynamics can be reduced to a finite-dimensional one by projecting it to slow modes. Such a reduction clarifies the bifurcational origin of rotational motion of traveling spots in two dimensions in close analogy to the normal form of 1:2 mode interactions.
Rights: © 2009 The American Physical Society
資料タイプ: article
URI: http://hdl.handle.net/2115/39847
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 西浦 廉政

 

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