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.
Rezensionen / Stimmen
"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)
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Illustrationen
1
1 s/w Abbildung
X, 156 p. 1 illus.
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 10 mm
Gewicht
ISBN-13
978-3-031-29841-7 (9783031298417)
DOI
10.1007/978-3-031-29842-4
Schweitzer Klassifikation
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.
