| 期刊全稱 | Attractivity and Bifurcation for Nonautonomous Dynamical Systems | | 影響因子2023 | Martin Rasmussen | | 視頻video | http://file.papertrans.cn/165/164912/164912.mp4 | | 學(xué)科分類 | Lecture Notes in Mathematics | | 圖書封面 |  | | 影響因子 | .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.. | | Pindex | Book 2007 |
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