Nonautonomous Bifurcation Theory: Concepts and Tools - 10 (1st ed. 2023.)

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.