Attractivity and Bifurcation for Nonautonomous Dynamical Systems

Attractivity and Bifurcation for Nonautonomous Dynamical Systems pdf epub mobi txt 電子書 下載2025

出版者:Springer Verlag
作者:Rasmussen, Martin
出品人:
頁數:212
译者:
出版時間:
價格:$ 79.04
裝幀:Pap
isbn號碼:9783540712244
叢書系列:Lecture Notes in Mathematics
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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.

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