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Strong Interactions among Particlelike Solutions in Dissipative Systems

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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
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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