Attractivity and bifurcation for nonautonomous dynamical systems
- Author
- Martin Rasmussen
- Publication Year
- 2007
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Mathematics and Statistics
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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.
Keywords: Mathematics and Statistics / Nonautonomous dynamical system / Attractor and repeller theory / Bifurcation theory / Ordinary differential equation / Qualitative theory