Rotational motion of traveling spots in dissipative systems

Teramoto, Takashi; Suzuki, Katsuya; Nishiura, Yasumasa

Physical Review E, 2009, 80(4), 046208

Permalink : https://hdl.handle.net/2115/39847

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アクセス権	open access
URI	https://hdl.handle.net/2115/39847
タイトル	Rotational motion of traveling spots in dissipative systems
著者	Teramoto, Takashi ; Suzuki, Katsuya ; Nishiura, Yasumasa
著者名 Teramoto, Takashi
著者名 Suzuki, Katsuya
e-Rad_Researcher 00131277 著者名 Nishiura, Yasumasa
言語	英語
キーワード	bifurcation
	partial differential equations
	reaction-diffusion systems
発行日	2009-10
出版者	American Physical Society
収録物名	Physical Review E
巻(号)	80(4)
ページ	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.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	© 2009 The American Physical Society
PISSN	1539-3755
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1103/PhysRevE.80.046208