Nonautonomous Dynamical Systems(English, Hardcover, Kloeden Peter E.)

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Nonautonomous Dynamical Systems(English, Hardcover, Kloeden Peter E.) is written by Kloeden Peter E. and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821868713 (ISBN 10) and 9780821868713 (ISBN 13).

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.