LEADER 02947nam 22005775 450 001 9910728950003321 005 20251009080449.0 010 $a3-031-29842-X 024 7 $a10.1007/978-3-031-29842-4 035 $a(MiAaPQ)EBC30558396 035 $a(Au-PeEL)EBL30558396 035 $a(OCoLC)1381094211 035 $a(DE-He213)978-3-031-29842-4 035 $a(BIP)089067691 035 $a(PPN)270615644 035 $a(CKB)26816404400041 035 $a(EXLCZ)9926816404400041 100 $a20230531d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonautonomous Bifurcation Theory $eConcepts and Tools /$fby Vasso Anagnostopoulou, Christian Pötzsche, Martin Rasmussen 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (159 pages) 225 1 $aFrontiers in Applied Dynamical Systems: Reviews and Tutorials,$x2364-4931 311 08$aPrint version: Anagnostopoulou, Vasso Nonautonomous Bifurcation Theory Cham : Springer International Publishing AG,c2023 9783031298417 327 $aIntroduction -- 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. 330 $aBifurcation theory is a major topic in dynamical systems theory with profound applications. However, in contrast to autonomous dynamical systems, it is not clear what a bifurcation of a nonautonomous dynamical system actually is, and so far, various different approaches to describe qualitative changes have been suggested in the literature. The aim of this book is to provide a concise survey of the area and equip the reader with suitable tools to tackle nonautonomous problems. A review, discussion and comparison of several concepts of bifurcation is provided, and these are formulated in a unified notation and illustrated by means of comprehensible examples. Additionally, certain relevant tools needed in a corresponding analysis are presented. 410 0$aFrontiers in Applied Dynamical Systems: Reviews and Tutorials,$x2364-4931 606 $aDynamics 606 $aMathematics 606 $aDynamical Systems 606 $aMathematics 615 0$aDynamics. 615 0$aMathematics. 615 14$aDynamical Systems. 615 24$aMathematics. 676 $a515.35 700 $aAnagnostopoulou$b Vasso$01363631 701 $aPötzsche$b Christian$0478946 701 $aRasmussen$b Martin$0307511 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910728950003321 996 $aNonautonomous Bifurcation Theory$93384475 997 $aUNINA