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Dynamic transitions through scattors in dissipative systems
| Title: | Dynamic transitions through scattors in dissipative systems |
| Authors: | Nishiura, Yasumasa Browse this author →KAKEN DB | | Teramoto, Takashi Browse this author | | Ueda, Kei-ichi Browse this author |
| Issue Date: | Sep-2003 |
| Publisher: | American Institute of Physics |
| Journal Title: | Chaos : An Interdisciplinary Journal of Nonlinear Science |
| Volume: | 13 |
| Issue: | 3 |
| Start Page: | 962 |
| End Page: | 972 |
| Publisher DOI: | 10.1063/1.1592131 |
| PMID: | 12946189 |
| Abstract: | Scattering of particle-like patterns in dissipative systems is studied, especially we focus on the issue how the input–output relation is controlled at a head-on collision where traveling pulses or spots 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 unstable steady or time-periodic solutions called scattors and their stable and unstable manifolds direct the traffic flow of orbits. Such scattors are in general highly unstable even in the one-dimensional case which causes a variety of input–output relations through the scattering process. We illustrate the ubiquity of scattors by using the complex Ginzburg–Landau equation, the Gray–Scott model, and a three-component reaction diffusion model arising in gas-discharge phenomena. |
| Rights: | © 2003 American Institute of Physics |
| Type: | article |
| URI: | http://hdl.handle.net/2115/35227 |
| 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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