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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2015, Volume 17, Number 4, Pages 41–44 (Mi svmo565)

Mathematics

Probability density as the solution of the Fokker-Plank equation in Noise-Induced Transitions.

S. N. Nagornyh, D. S. Sablukov

Nizhny Novgorod State Technical University

Abstract: Under development of the noise-induced transitions theory all necessary and sufficient conditions of Fokker-Plank equations solutions are considered according to Ito as singular united functions near the bifurcation point of Verhulst equation in connection of Liouville theorem. The critical parameters of probability density are estimated.

Keywords: probability density, ๑ritical parameters, Fokker-Plank equations, Verhulst equation.

UDC: 517.9

Received: 11.12.2015



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