Attractivity and bifurcation for nonautonomous dynamical systems

Attractivity and bifurcation for nonautonomous dynamical systems

Author
Martin Rasmussen
Publication Year
2007
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Mathematics and Statistics

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.


Keywords: Mathematics and Statistics / Nonautonomous dynamical system / Attractor and repeller theory / Bifurcation theory / Ordinary differential equation / Qualitative theory