Ebook: Nonautonomous Bifurcation Theory: Concepts and Tools
- Genre: Mathematics // Dynamical Systems
- Series: Frontiers in Applied Dynamical Systems: Reviews and Tutorials 10
- Year: 2023
- Publisher: Springer
- City: Cham
- Language: English
- pdf
Bifurcation theory is a major topic in dynamical systems theory with profound applications. However, in contrast to autonomous dynamical systems, it is not clear what a bifurcation of a nonautonomous dynamical system actually is, and so far, various different approaches to describe qualitative changes have been suggested in the literature. The aim of this book is to provide a concise survey of the area and equip the reader with suitable tools to tackle nonautonomous problems. A review, discussion and comparison of several concepts of bifurcation is provided, and these are formulated in a unified notation and illustrated by means of comprehensible examples. Additionally, certain relevant tools needed in a corresponding analysis are presented.
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