Attractivity and Bifurcation for Nonautonomous Dynamical Systems pdf epub mobi txt 电子书 下载 2025
- 动力系统
- 非自治系统
- 吸引子
- 分岔理论
- 非线性动力学
- 拓扑动力学
- 常微分方程
- 数学分析
- 应用数学
- 稳定性理论
具体描述
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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