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Nonautonomous Bifurcation Theory: Concepts and Tools: Frontiers in Applied Dynamical Systems: Reviews and Tutorials, cartea 10

Autor Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen
en Limba Engleză Paperback – 2 iun 2023
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.
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Specificații

ISBN-13: 9783031298417
ISBN-10: 3031298411
Ilustrații: X, 156 p. 1 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.25 kg
Ediția:1st ed. 2023
Editura: Springer Nature Switzerland
Colecția Springer
Seria Frontiers in Applied Dynamical Systems: Reviews and Tutorials

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

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