Overview
- Gives a unique survey of different approaches to nonautonomous bifurcation theory
- Examples guide the discussion and comparison of different approaches
- Provides a unique collection of tools from the theory of nonautonomous dynamical systems
Part of the book series: Frontiers in Applied Dynamical Systems: Reviews and Tutorials (FIADS)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
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.
Similar content being viewed by others
Keywords
Table of contents (7 chapters)
-
Front Matter
-
Nonautonomous Differential Equations
-
Front Matter
-
-
Nonautonomous Difference Equations
-
Front Matter
-
-
Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Nonautonomous Bifurcation Theory
Book Subtitle: Concepts and Tools
Authors: Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen
Series Title: Frontiers in Applied Dynamical Systems: Reviews and Tutorials
DOI: https://doi.org/10.1007/978-3-031-29842-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Softcover ISBN: 978-3-031-29841-7Published: 02 June 2023
eBook ISBN: 978-3-031-29842-4Published: 31 May 2023
Series ISSN: 2364-4532
Series E-ISSN: 2364-4931
Edition Number: 1
Number of Pages: X, 156
Number of Illustrations: 1 b/w illustrations
Topics: Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Mathematics, general