The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.
| ISBN: | 9780821868713 |
| Publication date: | 30th September 2011 |
| Author: | Peter E Kloeden, Martin Rasmussen |
| Publisher: | American Mathematical Society |
| Format: | Hardback |
| Pagination: | 264 pages |
| Series: | Mathematical Surveys and Monographs |
| Genres: |
Differential calculus and equations |
The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.
Nonautonomous Dynamical Systems features in the following genres: Differential calculus and equations
Nonautonomous Dynamical Systems is available in Hardback
Nonautonomous Dynamical Systems was written by Peter E Kloeden, Martin Rasmussen and published by American Mathematical Society
Nonautonomous Dynamical Systems has 264 pages
Yes it is part of Mathematical Surveys and Monographs series