书目名称 | Random Perturbation Methods with Applications in Science and Engineering | 编辑 | Anatoli V. Skorokhod,Frank C. Hoppensteadt,Habib S | 视频video | | 概述 | Provides a good combination of a general theory and well-chosen interesting and important applications.Most of the material presentes is not easily accessible in the existing literature.Authors are on | 丛书名称 | Applied Mathematical Sciences | 图书封面 |  | 描述 | 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 wi | 出版日期 | Book 2002 | 关键词 | Dynamical systems; Markov; Pertubation; Probability theory; Random dynamical systems; Random pertubation; | 版次 | 1 | doi | https://doi.org/10.1007/b98905 | isbn_softcover | 978-1-4684-9271-2 | isbn_ebook | 978-0-387-22446-6Series ISSN 0066-5452 Series E-ISSN 2196-968X | issn_series | 0066-5452 | copyright | Springer Science+Business Media New York 2002 |
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