02903nam 2200637 450 99646663120331620210217224846.01-280-90224-897866109022483-540-71225-910.1007/978-3-540-71225-1(CKB)1000000000282739(EBL)3036674(SSID)ssj0000289453(PQKBManifestationID)11911071(PQKBTitleCode)TC0000289453(PQKBWorkID)10404630(PQKB)11362083(DE-He213)978-3-540-71225-1(MiAaPQ)EBC3036674(MiAaPQ)EBC6351696(PPN)123160847(EXLCZ)99100000000028273920210217d2007 uy 0engur|n|---|||||txtccrAttractivity and bifurcation for nonautonomous dynamical systems. /Martin Rasmussen1st ed. 2007.Berlin, Germany :Springer,[2007]©20071 online resource (221 p.)Lecture notes in mathematics ;1907Description based upon print version of record.3-540-71224-0 Includes bibliographical references and index.Notions of Attractivity and Bifurcation -- Nonautonomous Morse Decompositions -- LinearSystems -- Nonlinear Systems -- Bifurcations in Dimension One -- Bifurcations of Asymptotically Autonomous Systems.Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions, which are useful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed.Lecture notes in mathematics (Springer-Verlag) ;1907.Differential equations, LinearDifferentiable dynamical systemsBifurcation theoryDifferential equations, Linear.Differentiable dynamical systems.Bifurcation theory.515/.39Rasmussen Martin1975-307511MiAaPQMiAaPQMiAaPQBOOK996466631203316Attractivity and bifurcation for nonautonomous dynamical systems230609UNISA