Format:
1 Online-Ressource (X, 156 p. 1 illus.)
ISBN:
9783031298424
Series Statement:
Frontiers in Applied Dynamical Systems: Reviews and Tutorials
Content:
Introduction -- Part I Nonautonomous differential equations - Spectral theory, stability and continuation -- Nonautonomous bifurcation -- Reduction techniques -- Part II Nonautonomous difference equations - Spectral theory, stability and continuation -- Nonautonomous bifurcation -- Reduction techniques.
Content:
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.
Additional Edition:
ISBN 9783031298417
Additional Edition:
ISBN 9783031298431
Additional Edition:
Erscheint auch als Druck-Ausgabe Anagnostopoulou, Vasso Nonautonomous bifurcation theory Cham : Springer, 2023 ISBN 9783031298417
Additional Edition:
ISBN 9783031298431
Language:
English
DOI:
10.1007/978-3-031-29842-4
Author information:
Pötzsche, Christian 1972-
Author information:
Rasmussen, Martin 1975-
