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Mathematics Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications (Springer Series in Synergetics)

Posted on 2010-04-13




Name:Mathematics Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications (Springer Series in Synergetics)
ASIN/ISBN:3540644350
Author:Onno A., van Herwaarden, Johan Grasman
Publisher:Springer (1999)
Language:English
Pages:Hardcover, 236 pages
File size:19.2 Mb
   Mathematics Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications (Springer Series in Synergetics)


Author: Onno A., van Herwaarden, Johan Grasman


Publisher: Springer (1999)


Binding: Hardcover, 236 pages


pricer: $74.95


ISBN-10: 3540644350


editorialreviews

Asymptotic methods are of great importance for practical applications, especially in dealing with boundary value problems for small stochastic perturbations. This book deals with nonlinear dynamical systems perturbed by noise. It addresses problems in which noise leads to qualitative changes, escape from the attraction domain, or extinction in population dynamics. The most likely exit point and expected escape time are determined with singular perturbation methods for the corresponding Fokker-Planck equation. The authors indicate how their techniques relate to the It? calculus applied to the Langevin equation. The book will be useful to researchers and graduate students.




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