Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications (Hardcover) (ISBN-13: 9783540644354)

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.

Author: Johan Grasman, Herwaarden
ISBN-10: 3540644350
ISBN-13: 9783540644354
Publisher: Springer
Language: English
Published: 03/08/1999
Pages: 220
Format: Hardcover
Weight: 1.12lbs
Size: 9.21h x 6.14w x 0.56d