Attractivity and Bifurcation for Nonautonomous Dynamical Systems

Martin Rasmussen

Springer

2007

217 páginas

7h 14m

ISBN-13: 9783540712251

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.