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ISSN (Print) 2079-6900

ISSN (Online) 2587-7496

(Middle Volga Mathematical Society Journal)

Scientific Journal

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

S. N. Nagornykh1, D. S. Sablukov2

AnnotationUnder 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.
Keywordsprobability density, сritical parameters, Fokker-Plank equations, Verhulst equation

1Docent of the applied mathematics chair, Nizhniy Novgorod State Technical University, Nizhniy Novgorod; algoritm@sandy.ru

2Student, Nizhniy Novgorod State Technical University, Nizhniy Novgorod; denis-sablukov@mail.ru

Citation: S. N. Nagornykh, D. S. Sablukov, "[Probability density as the solution of the Fokker-Plank equation in Noise-Induced Transitions.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:4 (2015) 41–44 (In Russian)