A new approach to solving the stationary Fokker-Planck-Kolmogorov equation for a randomly oscillating nonlinear system
It is shown that the Fokker-Planck-Kolmogorov equation in terms of amplitude and phase may, in the stationary case, be reduced to a first order partial differential equation which we call the stationary reduced Fokker-Planck-Kolmogorov. A method for approximate solution of the reduced equation is presented which does not need assumptions on the smallness of nonlinearity of a system and intensity of random influences.
English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 8, pp 1025-1031.
Citation Example: Nguyen Tien Khiem A new approach to solving the stationary Fokker-Planck-Kolmogorov equation for a randomly oscillating nonlinear system // Ukr. Mat. Zh. - 1992. - 44, № 8. - pp. 1123–1129.