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.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Mathematical Surveys and Monographs |
Release date: |
September 2011 |
First published: |
2011 |
Authors: |
Peter E. Kloeden
• Martin Rasmussen
|
Dimensions: |
257 x 189 x 19mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
264 |
ISBN-13: |
978-0-8218-6871-3 |
Categories: |
Books
|
LSN: |
0-8218-6871-3 |
Barcode: |
9780821868713 |
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