Hidden Bibliographic Details
ISBN: | 9783540712251 3540712259 3540712240 9783540712244
|
Notes: | Includes bibliographical references (pages 199-208) and index. Print version record.
|
Summary: | "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, which are useful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed."--Jacket.
|
Other form: | Print version: Rasmussen, Martin, 1975- Attractivity and bifurcation for nonautonomous dynamical systems. Berlin : Springer, ©2007 9783540712244
|
Standard no.: | 10.1007/978-3-540-71225-1
|