The Resource Random perturbation methods with applications in science and engineering, Anatoli V. Skorokhod, Frank C. Hoppensteadt, Habib Salehi

Random perturbation methods with applications in science and engineering, Anatoli V. Skorokhod, Frank C. Hoppensteadt, Habib Salehi

Label
Random perturbation methods with applications in science and engineering
Title
Random perturbation methods with applications in science and engineering
Statement of responsibility
Anatoli V. Skorokhod, Frank C. Hoppensteadt, Habib Salehi
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
MERUC
http://library.link/vocab/creatorDate
1930-2011
http://library.link/vocab/creatorName
Skorokhod, A. V.
Dewey number
  • 510 s
  • 515/.35
Illustrations
illustrations
Index
index present
LC call number
  • QA1
  • QA871eb
LC item number
.A647 vol. 150b
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1938-
http://library.link/vocab/relatedWorkOrContributorName
  • Hoppensteadt, Frank C.
  • Salehi, Habib
Series statement
Applied mathematical sciences
Series volume
150
http://library.link/vocab/subjectName
  • Perturbation (Mathematics)
  • Differentiable dynamical systems
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
  • Differentiable dynamical systems
  • Perturbation (Mathematics)
Label
Random perturbation methods with applications in science and engineering, Anatoli V. Skorokhod, Frank C. Hoppensteadt, Habib Salehi
Link
https://ezproxy.lib.ou.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=98908
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 472-484) and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Ergodic Theorems -- Convergence Properties of Stochastic Processes -- Averaging -- Normal Deviation -- Diffusion Approximation -- Stability -- Markov Chains with Random Transition Probabilities -- Randomly Perturbed Mechanical Systems -- Dynamical Systems on a Torus -- The Phase Locked Loop -- Models in Population Biology -- Genetics -- Appendices -- Index
Dimensions
unknown
Extent
1 online resource (xi, 488 pages)
Form of item
online
Isbn
9780585472775
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
eBooks on EBSCOhost
Other control number
10.1007/b98905
Other physical details
illustrations.
Specific material designation
remote
System control number
  • (OCoLC)559622926
  • (OCoLC)ocn559622926
Label
Random perturbation methods with applications in science and engineering, Anatoli V. Skorokhod, Frank C. Hoppensteadt, Habib Salehi
Link
https://ezproxy.lib.ou.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=98908
Publication
Bibliography note
Includes bibliographical references (pages 472-484) and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Ergodic Theorems -- Convergence Properties of Stochastic Processes -- Averaging -- Normal Deviation -- Diffusion Approximation -- Stability -- Markov Chains with Random Transition Probabilities -- Randomly Perturbed Mechanical Systems -- Dynamical Systems on a Torus -- The Phase Locked Loop -- Models in Population Biology -- Genetics -- Appendices -- Index
Dimensions
unknown
Extent
1 online resource (xi, 488 pages)
Form of item
online
Isbn
9780585472775
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
eBooks on EBSCOhost
Other control number
10.1007/b98905
Other physical details
illustrations.
Specific material designation
remote
System control number
  • (OCoLC)559622926
  • (OCoLC)ocn559622926

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