rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Random Perturbation Methods with Applications in Science and Engineering
  name:
    name part: Skorokhod, Anatoli V.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Hoppensteadt, Frank C.
    role:
      role term: author.
  name:
    name part: Salehi, Habib.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2002
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 490 p. online resource.
  abstract: 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.
  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.
  note: by Anatoli V. Skorokhod, Frank C. Hoppensteadt, Habib Salehi.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Probabilities
  subject:
    topic: Physics
  subject:
    topic: Mechanics
  subject:
    topic: Mechanics, Applied
  subject:
    topic: Mathematics
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  subject:
    topic: Analysis
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Theoretical and Applied Mechanics
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  classification: QA273.A1-274.9
  classification: QA274-274.9
  classification: 519.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Applied Mathematical Sciences, 150
  identifier: 9780387224466
  identifier: http://dx.doi.org/10.1007/b98905
  record info:
    record creation date: 121227
    record change date: 20151204175249.0
    record identifier: 978-0-387-22446-6