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Rotational motion of traveling spots in dissipative systems

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/39847

Title: Rotational motion of traveling spots in dissipative systems
Authors: Teramoto, Takashi Browse this author
Suzuki, Katsuya Browse this author
Nishiura, Yasumasa Browse this author →KAKEN DB
Keywords: bifurcation
partial differential equations
reaction-diffusion systems
Issue Date: Oct-2009
Publisher: American Physical Society
Journal Title: Physical Review E
Volume: 80
Issue: 4
Start Page: 046208
Publisher DOI: 10.1103/PhysRevE.80.046208
Abstract: 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
Type: article
URI: http://hdl.handle.net/2115/39847
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 西浦 廉政

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