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Attractivity and Bifurcation for Nonautonomous Dynamical Systems is written by Martin Rasmussen and published by Springer. It's available with International Standard Book Number or ISBN identification 3540712259 (ISBN 10) and 9783540712251 (ISBN 13).
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.