Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications:
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Bibliographische Detailangaben
Beteilige Person: Grasman, Johan 1944- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Berlin, Heidelberg Springer Berlin Heidelberg 1999
Schriftenreihe:Springer Series in Synergetics
Schlagwörter:
Links:https://doi.org/10.1007/978-3-662-03857-4
Beschreibung: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
Umfang:1 Online-Ressource (IX, 220 p)
ISBN:9783662038574
9783642084096
ISSN:0172-7389
DOI:10.1007/978-3-662-03857-4