ISBN-10:
0821868713
ISBN-13:
9780821868713
Pub. Date:
08/17/2011
Publisher:
American Mathematical Society
Nonautonomous Dynamical Systems

Nonautonomous Dynamical Systems

by Peter E. Kloeden and Martin Rasmussen, Martin Rasmussen

Hardcover

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Overview

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.

Product Details

ISBN-13: 9780821868713
Publisher: American Mathematical Society
Publication date: 08/17/2011
Series: Mathematical Surveys and Monographs , #176
Pages: 264
Product dimensions: 7.30(w) x 10.20(h) x 0.80(d)

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