Random Perturbation Methods with Applications in Science and Engineering

Author:   Anatoli V. Skorokhod ,  Frank C. Hoppensteadt ,  Habib D. Salehi
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2002
Volume:   150
ISBN:  

9781468492712


Pages:   490
Publication Date:   18 September 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Random Perturbation Methods with Applications in Science and Engineering


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Overview

This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.

Full Product Details

Author:   Anatoli V. Skorokhod ,  Frank C. Hoppensteadt ,  Habib D. Salehi
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2002
Volume:   150
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.765kg
ISBN:  

9781468492712


ISBN 10:   1468492713
Pages:   490
Publication Date:   18 September 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Ergodic Theorems.- Convergence Properties of Stochastic Processes.- Averaging.- Normal Deviations.- Diffusion Approximation.- Stability.- Markov Chains with Random Transition Probabilities.- Randomly Perturbed Mechanical Systems.- Dynamical Systems on a Torus.- Phase—Locked Loops.- Models in Population Biology.- Genetics.

Reviews

From the reviews: The authors introduce the reader to the mathematical theory of randomly perturbed dynamical systems. ... the authors make the laudable attempt to introduce others, e.g. engineers and biologists (and non-expert mathematicians) ... by starting the book with an Introduction that in less technical terms illustrates the main facts of the theory and how these facts help one better understand the dynamical systems considered by scientists and engineers. This, together with many computer-simulated visualizations, may make the book accessible to scientists and engineers ... . (Volker Wihstutz, Mathematical Reviews, 2003 m) This monograph contains a well-written rigorous mathematical treatment ... and deals with modern concepts such as dynamical systems, stochastic processes, stability, Markov chains, population biology, etc. ... In summary, this reviewer would definitely recommend Random Perturbation Methods with Applications in Science and Engineering to those researchers and graduate students ... who require tools to investigate stochastic systems. The book qualifies to be a reference work that certainly would be a valuable addition in libraries of universities and laboratories pursuing research in Applied Mathematics. (VD Radulescu, Applied Mechanics Reviews, Vol. 56 (4), 2003)


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