Nonautonomous Bifurcation Theory

Concepts and Tools

Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen

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English

Springer International Publishing AG
02 June 2023

Non-linear science; Chaos theory

Series: Frontiers in Applied Dynamical Systems: Reviews and Tutorials

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.

By: Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 1st ed. 2023
Volume: 10
Dimensions: Height: 235mm, Width: 155mm,
Weight: 267g
ISBN: 9783031298417
ISBN 10: 3031298411
Series: Frontiers in Applied Dynamical Systems: Reviews and Tutorials
Pages: 156
Publication Date: 02 June 2023
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.