Strong Interactions among Particlelike Solutions in Dissipative Systems

Nishiura, Yasumasa

数理解析研究所講究録, 2003, 1330, 88-100

Permalink : https://hdl.handle.net/2115/35217

このアイテムのアクセス数:929件（2026-08-26 05:14 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
nishiura-1	pdf	1.00 MB	902

アクセス権	open access
URI	https://hdl.handle.net/2115/35217
タイトル	Strong Interactions among Particlelike Solutions in Dissipative Systems
著者	e-Rad_Researcher 00131277 著者名 Nishiura, Yasumasa
言語	英語
発行日	2003
出版者	京都大学数理解析研究所
収録物名	数理解析研究所講究録
収録物名	RIMS Kokyuroku
巻(号)	1330
ページ	88-100
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record