Nonautonomous Bifurcation Theory: Concepts and Tools (Frontiers in Applied Dynamical Systems: Reviews and Tutorials)

Anagnostopoulou, Vasso; Pötzsche, Christian; Rasmussen, Martin

ISBN 10: 3031298411 / ISBN 13: 9783031298417

Editore: Springer, 2023

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Dati bibliografici

• Titolo: Nonautonomous Bifurcation Theory: Concepts and Tools (Frontiers in Applied Dynamical Systems: Reviews and Tutorials)
• Editore: Springer
• Data di pubblicazione: 2023
• Lingua: Inglese
• ISBN 10: 3031298411
• ISBN 13: 9783031298417
• Rilegatura: Brossura
• Condizione: New

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Riassunto

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.