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Applied Nonautonomous and Random Dynamical Systems: Applied Dynamical Systems /

Applied Nonautonomous and Random Dynamical Systems: Applied Dynamical Systems /
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Field name Details
Dewey Class 515.352
Title Applied Nonautonomous and Random Dynamical Systems ([EBook]) : Applied Dynamical Systems / / by Tomás Caraballo, Xiaoying Han.
Author Caraballo, Tomás
Added Personal Name Han, Xiaoying author.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details X, 108 p. 7 illus., 4 illus. in color. : online resource.
Series SpringerBriefs in Mathematics 2191-8198
ISBN 9783319492476
Summary Note 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.:
Contents note 1 Introduction -- 2 Autonomous dynamical systems. - 3 Nonautonomous dynamical systems -- 4 Random dynamical - References .
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-49247-6
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