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Scattering and separators in dissipative systems
| Title: | Scattering and separators in dissipative systems |
| Authors: | Nishiura, Yasumasa Browse this author →KAKEN DB | | Teramoto, Takashi Browse this author | | Ueda, Kei-ichi Browse this author |
| Keywords: | PACS = 82.40.Bj | | PACS = 68.35.Fx | | PACS = 82.20.Wt | | PACS = 89.75.Kd |
| Issue Date: | 2003 |
| Publisher: | American Physical Society |
| Journal Title: | Physical review. E, Statistical, nonlinear, and soft matter physics |
| Volume: | 67 |
| Issue: | 5 |
| Start Page: | 056210 |
| Publisher DOI: | 10.1103/PhysRevE.67.056210 |
| PMID: | 12786253 |
| Abstract: | Scattering of particlelike patterns in dissipative systems is studied, especially we focus on the issue how the input-output relation is controlled at a head-on collision in the one-dimensional(1D) space where traveling pulses interact strongly. It remains an open problem due to the large deformation of patterns at a colliding point. We found that a special type of steady or time-periodic solutions called separators and their stable and unstable manifolds direct the traffic flow of orbits. Such separators are, in general, highly unstable even in the 1D case which causes a variety of input-output relations through the scattering process. We illustrate the ubiquity of separators by using the Gray-Scott model and a three-component reaction diffusion model arising in gas-discharge phenomena. |
| Rights: | © 2003 The American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/35226 |
| 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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