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Nonautonomous Dynamical Systems
Peter E. Kloeden, Goethe University Frankfurt am Main, Germany, and Martin Rasmussen, Imperial College, London, England
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Mathematical Surveys and Monographs
2011; 264 pp; hardcover
Volume: 176
ISBN-10: 0-8218-6871-3
ISBN-13: 978-0-8218-6871-3
List Price: US$84
Member Price: US$67.20
Order Code: SURV/176
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See also:

Attractors for Equations of Mathematical Physics - Vladimir V Chepyzhov and Mark I Vishik

Lectures on Fractal Geometry and Dynamical Systems - Yakov Pesin and Vaughn Climenhaga

Dynamical Systems and Population Persistence - Hal L Smith and Horst R Thieme

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.

Readership

Graduate students and research mathematicians interested in dynamical systems.

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