Asymptotic methods for the Fokker-Planck equation and the exit problem in applications / J. Grasman, O.A. van Herwaarden.

Format:

Book

Author/Creator:

Grasman, Johan.

Contributor:

Herwaarden, O. A. van (Onno A.), 1956-

Series:

Springer series in synergetics 0172-7389

Springer series in synergetics, 0172-7389

Language:

English

Subjects (All):

Fokker-Planck equation--Asymptotic theory.

Fokker-Planck equation.

Perturbation (Mathematics).

Stochastic analysis.

Physical Description:

ix, 220 pages : illustrations ; 25 cm.

Place of Publication:

Berlin ; New York : Springer, [1999]

Summary:

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.

Notes:

Includes bibliographical references (pages [203]-210) and indexes.

ISBN:

3540644350

OCLC:

40331118