02947nam 22005775 450 991072895000332120251009080449.03-031-29842-X10.1007/978-3-031-29842-4(MiAaPQ)EBC30558396(Au-PeEL)EBL30558396(OCoLC)1381094211(DE-He213)978-3-031-29842-4(BIP)089067691(PPN)270615644(CKB)26816404400041(EXLCZ)992681640440004120230531d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierNonautonomous Bifurcation Theory Concepts and Tools /by Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (159 pages)Frontiers in Applied Dynamical Systems: Reviews and Tutorials,2364-4931Print version: Anagnostopoulou, Vasso Nonautonomous Bifurcation Theory Cham : Springer International Publishing AG,c2023 9783031298417 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.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.Frontiers in Applied Dynamical Systems: Reviews and Tutorials,2364-4931DynamicsMathematicsDynamical SystemsMathematicsDynamics.Mathematics.Dynamical Systems.Mathematics.515.35Anagnostopoulou Vasso1363631Pötzsche Christian478946Rasmussen Martin307511MiAaPQMiAaPQMiAaPQBOOK9910728950003321Nonautonomous Bifurcation Theory3384475UNINA