Attractivity and bifurcation for nonautonomous dynamical systems
Author(s)
Bibliographic Information
Attractivity and bifurcation for nonautonomous dynamical systems
（Lecture notes in mathematics, 1907）
Springer, c2007
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1907200001578174
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Note
Includes bibliographical references (p. [199]-208) and index
Description and Table of Contents
Description
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.
Table of Contents
Notions of Attractivity and Bifurcation.- Nonautonomous Morse Decompositions.- LinearSystems.- Nonlinear Systems.- Bifurcations in Dimension One.- Bifurcations of Asymptotically Autonomous Systems.
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