Anagnostopoulou / Pötzsche / Rasmussen Nonautonomous Bifurcation Theory

Concepts and Tools
1. Auflage 2023
ISBN: 978-3-031-29842-4
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 156 Seiten

Reihe: Mathematics and Statistics (R0)

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.

Zielgruppe

Research

Autoren/Hrsg.

Anagnostopoulou, Vasso

Pötzsche, Christian

Rasmussen, Martin

Inhaltsverzeichnis

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.