Nonautonomous Bifurcation Theory
Concepts and Tools
Seiten
2023
|
1st ed. 2023
Springer International Publishing (Verlag)
978-3-031-29841-7 (ISBN)
Springer International Publishing (Verlag)
978-3-031-29841-7 (ISBN)
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 |
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 |
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