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Applied Nonautonomous and Random Dynamical Systems: Applied Dynamical Systems /
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Catalogue Information
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
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Biomathematics
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Differential Equations
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Engineering mathematics
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Genetics and Population Dynamics
.
Mathematics
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Ordinary differential equations
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Probabilities
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Probability theory and stochastic processes
.
Authors:
Caraballo, Tomás
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Han, Xiaoying
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Corporate Authors:
SpringerLink (Online service)
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Series:
SpringerBriefs in Mathematics
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Classification:
515.352
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