Attractivity and Bifurcation for Nonautonomous Dynamical Systems / by Martin Rasmussen
(Lecture Notes in Mathematics ; 1907)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg |
| 出版年 | 2007 |
| 本文言語 | 英語 |
| 大きさ | XI, 217 p : online resource |
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| 内容注記 | Notions of Attractivity and Bifurcation Nonautonomous Morse Decompositions LinearSystems Nonlinear Systems Bifurcations in Dimension One Bifurcations of Asymptotically Autonomous Systems |
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| 一般注記 | Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions, which are useful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed |
| 著者標目 | *Rasmussen, Martin author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Dynamics LCSH:Ergodic theory LCSH:Differential equations FREE:Mathematics FREE:Ordinary Differential Equations FREE:Dynamical Systems and Ergodic Theory |
| 分 類 | DC23:515.352 |
| 巻冊次 | ISBN:9783540712251 
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| ISBN | 9783540712251 |
| URL | http://dx.doi.org/10.1007/978-3-540-71225-1 |
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