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Strong Interactions among Particlelike Solutions in Dissipative Systems
| Title: | Strong Interactions among Particlelike Solutions in Dissipative Systems |
| Authors: | Nishiura, Yasumasa Browse this author →KAKEN DB |
| Issue Date: | 2003 |
| Publisher: | 京都大学数理解析研究所 |
| Journal Title: | 数理解析研究所講究録 |
| Journal Title(alt): | RIMS Kokyuroku |
| Volume: | 1330 |
| Start Page: | 88 |
| End Page: | 100 |
| Abstract: | Three typical transient dynamics in dissipative systems are discussed, namely self-replication, self-destruction, and scattering among spatially localized patterns. The difficulty lies in the fact that patterns are deformed a lot and the associated orbits behave globally in the phase space. A conventional treatment in general does not work and needs a new viewpoint to describe them. Our strategy is not to trace the orbital behavior iteself, but to search a global structure of network of bifurcating solutions which drives such transient dynamics. A hierarchy structure of saddle-node bifurcation points plays a crucial role for self-replication and self-destruction processes, and unstable patterns called scattors for scattering process. The aim of this note is to clarify what are the issues and convey the basic ideas to overcome them. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/35217 |
| 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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