Nonautonomous Bifurcation Theory

Concepts and Tools

AvVasso Anagnostopoulou,Christian Pötzsche

Häftad, Engelska, 2023

Del 10 i serien Frontiers in Applied Dynamical Systems: Reviews and Tutorials

931 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2023-06-02
Mått:155 x 235 x 10 mm
Vikt:265 g
Format:Häftad
Språk:Engelska
Serie:Frontiers in Applied Dynamical Systems: Reviews and Tutorials
Antal sidor:156
Upplaga:23001
Förlag:Springer International Publishing AG
ISBN:9783031298417

Utforska kategorier

Tillämpad matematik inom Naturvetenskap och teknik

Recensioner i media

“The authors aim at a survey where recent main developments and results are discussed, with many references to the literature for more concrete examples, details and proofs. … This text offers a start to the field with many pointers to literature. (Hil G. E. Meijer, Mathematical Reviews, January, 2025)

Innehållsförteckning

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.