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Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications

Name: Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01653420
Price: 51.12 EUR
Availability: InStock
Author: Johan Grasman
ISBN: 9783642084096

Johan Grasman

Onno A.

van Herwaarden

Jezik

Engleski

Knjiga Meki uvez

Libristo kod: 01653420

Nakladnici Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, prosinac 2010

Asymptotic methods are of great importance for practical applications, especially in dealing with bo... Cijeli opis

Libristo kod: 01653420

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51.12 €

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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 where 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.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.