EVOLUTION OF A SIMPLE DYNAMICAL SYSTEM IN A RANDOM-FIELD

Authors
Citation
Mk. Kharrasov, EVOLUTION OF A SIMPLE DYNAMICAL SYSTEM IN A RANDOM-FIELD, Theoretical and mathematical physics, 97(3), 1993, pp. 1382-1385
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
97
Issue
3
Year of publication
1993
Pages
1382 - 1385
Database
ISI
SICI code
0040-5779(1993)97:3<1382:EOASDS>2.0.ZU;2-8
Abstract
The solution of the Fokker-Planck equation for a nonlinear dynamical s ystem is considered in the framework of perturbation theory. On the ba sis of uniform estimates, we find a condition for the applicability of the Gaussian approximation of solutions in the neighborhood of an asy mptotically stable point of a deterministic system.