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Rotational motion of traveling spots in dissipative systems
| 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)
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Submitter: 西浦 廉政
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