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Record Nr. |
UNINA9910728950003321 |
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Autore |
Anagnostopoulou Vasso |
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Titolo |
Nonautonomous Bifurcation Theory : Concepts and Tools / / by Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
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ISBN |
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Edizione |
[1st ed. 2023.] |
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Descrizione fisica |
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1 online resource (159 pages) |
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Collana |
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Frontiers in Applied Dynamical Systems: Reviews and Tutorials, , 2364-4931 |
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Altri autori (Persone) |
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PötzscheChristian |
RasmussenMartin |
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Disciplina |
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Soggetti |
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Dynamics |
Mathematics |
Dynamical Systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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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