ENGLISH

Asymptotic methods for the Fokker-Planck equation and the exit problem

Book information

Publisher
Springer Berlin Heidelberg
Year
2010
ISBN
9783642084096, 3642084095
Language
english
Format
DJVU
Filesize
1 MB (1469699 bytes)
Series
Springer Series in Synergetics
Pages
212\212
Library
kolxoz
DPI
300
Time added
2009-07-20 03:45:11

Description

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 Itô calculus applied to the Langevin equation. The book will be useful to researchers and graduate students.

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