Applied Nonautonomous and Random Dynamical Systems

Applied Dynamical Systems

Nonfiction, Science & Nature, Mathematics, Differential Equations, Statistics
Cover of the book Applied Nonautonomous and Random Dynamical Systems by Tomás Caraballo, Xiaoying Han, Springer International Publishing
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Author: Tomás Caraballo, Xiaoying Han ISBN: 9783319492476
Publisher: Springer International Publishing Publication: January 31, 2017
Imprint: Springer Language: English
Author: Tomás Caraballo, Xiaoying Han
ISBN: 9783319492476
Publisher: Springer International Publishing
Publication: January 31, 2017
Imprint: Springer
Language: English

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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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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