Nonautonomous Bifurcation Theory
Author | : Vasso Anagnostopoulou |
Publisher | : Springer Nature |
Total Pages | : 159 |
Release | : 2023-05-31 |
ISBN-10 | : 9783031298424 |
ISBN-13 | : 303129842X |
Rating | : 4/5 (24 Downloads) |
Book excerpt: 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.