Nonautonomous Bifurcation Theory

Concepts and Tools
1. Auflage 2023
ISBN: 978-3-031-29841-7
Verlag: Springer

Buch, Englisch, Band 10, 156 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 265 g

Reihe: 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.

Zielgruppe

Research

Autoren/Hrsg.

Anagnostopoulou, Vasso

Pötzsche, Christian

Rasmussen, Martin

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme

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.