Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen

Nonautonomous Bifurcation Theory

Concepts and Tools

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Frontiers in Applied Dynamical Systems: Reviews and Tutorials 10
• Verlag: Springer / Springer Nature Switzerland / Springer, Berlin
• Artikelnr. des Verlages: 978-3-031-29841-7
• 1st ed. 2023
• Seitenzahl: 168
• Erscheinungstermin: 2. Juni 2023
• Englisch
• Abmessung: 235mm x 155mm x 10mm
• Gewicht: 265g
• ISBN-13: 9783031298417
• ISBN-10: 3031298411
• Artikelnr.: 67520938

Inhaltsangabe

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.

Rezensionen

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)