Attractivity and Bifurcation for Nonautonomous Dynamical Systems

• Main Author: Rasmussen, Martin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Lecture Notes in Mathematics, 1907
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.

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...

Table of Contents:

• Notions of Attractivity and Bifurcation
• Nonautonomous Morse Decompositions
• LinearSystems
• Nonlinear Systems
• Bifurcations in Dimension One
• Bifurcations of Asymptotically Autonomous Systems.