Attractivity and Bifurcation for Nonautonomous Dynamical Systems
65,58 €*
Alle Preise inkl. MwSt.|Versandkostenfrei
ISBN-13:
9783540712244
Veröffentl:
2007
Einband:
Paperback
Erscheinungsdatum:
08.06.2007
Seiten:
232
Autor:
Martin Rasmussen
Gewicht:
359 g
Format:
235x155x13 mm
Serie:
1907, Lecture Notes in Mathematics
Sprache:
Englisch
Beschreibung:
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.
Notions of Attractivity and Bifurcation.- Nonautonomous Morse Decompositions.- LinearSystems.- Nonlinear Systems.- Bifurcations in Dimension One.- Bifurcations of Asymptotically Autonomous Systems.
Kunden Rezensionen
Mehr zum Thema
Folgen Sie uns auf:
