
Preface  Preview Material  Table of Contents  Supplementary Material 
Mathematical Surveys and Monographs 2011; 264 pp; hardcover Volume: 176 ISBN10: 0821868713 ISBN13: 9780821868713 List Price: US$89 Member Price: US$71.20 Order Code: SURV/176 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 setvalued 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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