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Attractivity and Bifurcation for Nonautonomous Dynamical Systems

Attractivity and Bifurcation for Nonautonomous Dynamical Systems

Paperback

Series: Lecture Notes in Mathematics, Book 1907

General Mathematics

ISBN10: 3540712240
ISBN13: 9783540712244
Publisher: Springer
Published: Jun 8 2007
Pages: 217
Weight: 0.75
Height: 0.50 Width: 6.10 Depth: 9.10
Language: English

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.

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General Mathematics