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Titlebook: Attractivity and Bifurcation for Nonautonomous Dynamical Systems; Martin Rasmussen Book 2007 Springer-Verlag Berlin Heidelberg 2007 Nonaut

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發(fā)表于 2025-3-21 19:28:03 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Attractivity and Bifurcation for Nonautonomous Dynamical Systems
影響因子2023Martin Rasmussen
視頻videohttp://file.papertrans.cn/165/164912/164912.mp4
學(xué)科分類Lecture Notes in Mathematics
圖書封面Titlebook: Attractivity and Bifurcation for Nonautonomous Dynamical Systems;  Martin Rasmussen Book 2007 Springer-Verlag Berlin Heidelberg 2007 Nonaut
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..
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沙發(fā)
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978-3-540-71224-4Springer-Verlag Berlin Heidelberg 2007
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地板
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Bifurcations of Asymptotically Autonomous Systems,In the first section of this chapter, some basic properties of asymptotically autonomous systems are prepared for later use. In Section 7.2, one-dimensional bifurcations such as the pitchfork, transcritical and saddle node bifurcation are discussed. Section 7.3 is devoted to study the Hopf bifurcation scenario.
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發(fā)表于 2025-3-22 16:32:45 | 只看該作者
Lecture Notes in Mathematicshttp://image.papertrans.cn/b/image/164912.jpg
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發(fā)表于 2025-3-22 18:48:12 | 只看該作者
Attractivity and Bifurcation for Nonautonomous Dynamical Systems978-3-540-71225-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
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發(fā)表于 2025-3-23 00:54:26 | 只看該作者
Lucie Hertz-Pannier,Marion Noulhianepitchfork bifurcation, both for nonautonomous bifurcations and transitions..In this chapter, only the continuous case of ordinary differential equations is treated. For analogous results in the context of difference equations, see . [145].
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