Nonautonomous Bifurcation Theory

Concepts and Tools

Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen (Autoren)

Buch | Softcover

X, 156 Seiten

2023 | 1st ed. 2023
Springer International Publishing (Verlag)
978-3-031-29841-7 (ISBN)

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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.

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.

Erscheinungsdatum	03.06.2023
Reihe/Serie	Frontiers in Applied Dynamical Systems: Reviews and Tutorials
Zusatzinfo	X, 156 p. 1 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	264 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Bifurcation Theory • Dynamical Systems • Nonautonomous bifurcation • Nonautonomous Differential Equations • Reduction Techniques • spectral theory
ISBN-10	3-031-29841-1 / 3031298411
ISBN-13	978-3-031-29841-7 / 9783031298417
Zustand	Neuware