Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen

Nonautonomous Bifurcation Theory (eBook, PDF)

Concepts and Tools

• Format: PDF

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.

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 156
• Erscheinungstermin: 31. Mai 2023
• Englisch
• ISBN-13: 9783031298424
• Artikelnr.: 68154994

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.