Attractivity and bifurcation for nonautonomous dynamical systems /

Saved in:
Bibliographic Details
Author / Creator:Rasmussen, Martin, 1975-
Imprint:Berlin : Springer, ©2007.
Description:1 online resource (xi, 212 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1907
Lecture notes in mathematics (Springer-Verlag) ; 1907.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11066574
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