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Mathematical Surveys and Monographs
2011; 264 pp; hardcover
List Price: US$89
Member Price: US$71.20
Order Code: SURV/176
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.
Graduate students and research mathematicians interested in dynamical systems.
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