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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
Artikel-ID: 126667520

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