Asymptotic Methods for the Fokker—Planck Equation and the Exit Problem in Applications [electronic resource] /
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.
Main Authors: | , , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1999
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Subjects: | Mathematics., Computers., Mathematical analysis., Analysis (Mathematics)., Probabilities., Physics., Statistical physics., Dynamical systems., Analysis., Theory of Computation., Probability Theory and Stochastic Processes., Statistical Physics, Dynamical Systems and Complexity., Mathematical Methods in Physics., |
Online Access: | http://dx.doi.org/10.1007/978-3-662-03857-4 |
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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 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. |
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