Construction of stationary distribution functions for a system of stochastic Langevin-type equations
type: Item
instance of: scholarly article
title: Construction of stationary distribution functions for a system of stochastic Langevin-type equations
zbMATH Open document ID: 0598.60063
DOI: 10.1016/0378-4371(84)90170-5
author: I. I. Fedchenia
published in: Physica A
publication date: 1984-01-01T00:00:00Z
review text: Construction of stationary distribution functions is described which satisfies the Fokker-Planck equation locally in the vicinity of every point and the general non-potential case is considered as well as the case of diffusion tensor degeneration at individual points of the phase space. It is shown that the analysis can be performed by catastrophe theory methods. As an example, a system of Langevin-type equations describing single-mode laser generation is considered.
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60J70
zbMATH DE Number: 3965119
zbMATH Keywords: stationary distribution
zbMATH Keywords: Fokker-Planck equation
zbMATH Keywords: catastrophe theory
zbMATH Keywords: Langevin-type equations
MaRDI profile type: Publication
full work available at URL: 0378-4371(84)90170-5
OpenAlex ID: W2023722156
cites work: Q3961135
cites work: Q3965343
cites work: Q4160117
cites work: The influence of external noise on a marginal or a critical equilibrium point.
cites work: Q4057338
description: scientific article; zbMATH DE number 3965119