Attractivity and bifurcation for nonautonomous dynamical systems
Martin Rasmussen (auth.)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.
ক্যাটাগোরিগুলো:
সাল:
2007
সংস্করণ:
1
প্রকাশক:
Springer-Verlag Berlin Heidelberg
ভাষা:
english
পৃষ্ঠা:
217
ISBN 10:
3540712240
ISBN 13:
9783540712244
বইয়ের সিরিজ:
Lecture notes in mathematics 1907
ফাইল:
PDF, 1.88 MB
IPFS:
,
english, 2007
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