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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010 Issue 6(80), Pages 139–145 (Mi vsgu202)

Physics

Calculation method of spectral-correlation characteristics of stochastic processes in the first order non-linear systems

V. V. Zaytcev

Dept. of Radiophysics and Computer Modelling of Radio Systems, Samara State University, Samara, 443011, Russian Federation

Abstract: Calculation method of correlation function of stochastic process in the first order dynamical system with arbitrary sort potential of recovery force lying under action of periodic signal and white noise is offered in the article. Method is based on the decomposition of non-stationary Fokker–Plank equation solution in eigen functions of stationary operator and numerical solutions of matrix problem of eigen values and system of ordinary differential equations.

Keywords: non-linear stochastic system, Markovian process, correlation function, numerical analysis.

UDC: 538.56+519.25

Received: 18.07.2010
Revised: 18.07.2010



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