Random Perturbation Methods with Applications in Science and Engineering: 150 (Applied Mathematical Sciences) - Hardcover

Skorokhod, Anatoli V.; Hoppensteadt, Frank C.; Salehi, Habib D.

 
9780387954271: Random Perturbation Methods with Applications in Science and Engineering: 150 (Applied Mathematical Sciences)
Hardcover
ISBN 10: 0387954279 ISBN 13: 9780387954271
Verlag: Springer, 2002

Inhaltsangabe

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.

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As systems evolve, they are subjected to random operating environments. In addition, random errors occur in measurements of their outputs and in their design and fabrication where tolerances are not precisely met. This book develops methods for describing random dynamical systems, and it illustrates how the methods can be used in a variety of applications. The first half of the book concentrates on finding approximations to random processes using the methodologies of probability theory. The second half of the book derives approximations to solutions of various problems in mechanics, electronic circuits, population biology, and genetics. In each example, the underlying physical or biological phenomenon is described in terms of nonrandom models taken from the literature, and the impact of random noise on the solutions is investigated. The mathematical problems in these applicitons involve random pertubations of gradient systems, Hamiltonian systems, toroidal flows, Markov chains, difference equations, filters, and nonlinear renewal equations. The models are analyzed using the approximation methods described here and are visualized using MATLAB-based computer simulations.
This book will appeal to those researchers and graduate students in science and engineering who require tools to investigate stochastic systems.

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Verlag
Springer
Erscheinungsdatum
2002
Sprache
Englisch
ISBN 10 
0387954279
ISBN 13 
9780387954271
Einband
Tapa dura
Anzahl der Seiten
508
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
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Weitere beliebte Ausgaben desselben Titels

9781468492712: Random Perturbation Methods with Applications in Science and Engineering: 150 (Applied Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  1468492713 ISBN 13:  9781468492712
Verlag: Springer, 2012
Softcover