Attractivity and Bifurcation for Nonautonomous Dynamical Systems

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ISBN-13:
9783540712244
Erscheinungsdatum:
08.06.2007
Seiten:
216
Autor:
Martin Rasmussen
Gewicht:
359 g
Format:
235x155x12 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.
Notions of Attractivity and Bifurcation.- Nonautonomous Morse Decompositions.- LinearSystems.- Nonlinear Systems.- Bifurcations in Dimension One.- Bifurcations of Asymptotically Autonomous Systems.

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