Nonautonomous dynamical systems

✍ Scribed by Peter E. Kloeden, Martin Rasmussen

Publisher: American Mathematical Society
Year: 2011
Tongue: English
Leaves: 274
Series: Mathematical Surveys and Monographs 176
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

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