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Applied Nonautonomous and Random Dynamical Systems - Applied Dynamical Systems (Paperback, 1st ed. 2016)
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Applied Nonautonomous and Random Dynamical Systems - Applied Dynamical Systems (Paperback, 1st ed. 2016)
Series: SpringerBriefs in Mathematics
Expected to ship within 10 - 15 working days
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This book offers an introduction to the theory of non-autonomous
and stochastic dynamical systems, with a focus on the importance of
the theory in the Applied Sciences. It starts by discussing the
basic concepts from the theory of autonomous dynamical systems,
which are easier to understand and can be used as the motivation
for the non-autonomous and stochastic situations. The book
subsequently establishes a framework for non-autonomous dynamical
systems, and in particular describes the various approaches
currently available for analysing the long-term behaviour of
non-autonomous problems. Here, the major focus is on the novel
theory of pullback attractors, which is still under development. In
turn, the third part represents the main body of the book,
introducing the theory of random dynamical systems and random
attractors and revealing how it may be a suitable candidate for
handling realistic models with stochasticity. A discussion of
future research directions serves to round out the coverage.
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