Nonautonomous Bifurcation Theory
Concepts and Tools
Seiten
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.
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)
| 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 |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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