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Beschreibung
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.
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.
Zusammenfassung
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
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.
Details
| Erscheinungsjahr: | 2023 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Frontiers in Applied Dynamical Systems: Reviews and Tutorials |
| Inhalt: |
x
156 S. 1 s/w Illustr. 156 p. 1 illus. |
| ISBN-13: | 9783031298417 |
| ISBN-10: | 3031298411 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Anagnostopoulou, Vasso
Pötzsche, Christian Rasmussen, Martin |
| Hersteller: |
Springer
Palgrave Macmillan Springer International Publishing AG Frontiers in Applied Dynamical Systems: Reviews and Tutorials |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 10 mm |
| Von/Mit: | Vasso Anagnostopoulou (u. a.) |
| Erscheinungsdatum: | 30.07.2023 |
| Gewicht: | 0,265 kg |