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Asymptotic Methods For The Fokkerplanck Equation And The Exit Problem In Applications

Johan Grasman · 2013

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About the book

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.

Book details

Year
2013
Language
English
Publisher
Springer
Editions
2
ISBN
9783662038574

Data source: Wikidata

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