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Sistemy i Sredstva Informatiki [Systems and Means of Informatics], 2019, Volume 29, Issue 1, Pages 109–127
DOI: https://doi.org/10.14357/08696527190110 (Mi ssi627) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Analytical modeling of processes in Volterra stochastic systems by the canonical expansions method

I. N. Sinitsyn, V. I. Sinitsyn

Institute of Informatics Problems, Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119133, Russian Federation
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DOI: https://doi.org/10.14357/08696527190110
Abstract: On the basis of the stochastic canonical expansions (StCE) theory, approximate nonlinear correlational methods and algorithms for analytical modeling of additive and parametric harmonic, quasi-harmonic, and wideband noises in generalized Volterra stochastic systems (VStS) are developed. The elements of StCE are given. The stochastic Volterra problem “Preys and Victims” with one trophical level is investigated in detail. Special attention is paid to test examples for one- and two-dimensional VStS with additive and parametric harmonic, quasi-harmonic, and wideband noises.
Keywords: analytical modeling, harmonic, quasi-harmonic, and wideband noises, method of stochastic canonical expansions (StCE), method of normal approximation (MNA), method of slow-changing amplitudes (MSCA), method of statistical linearization (MSL), Volterra stochastic systems (VStS).
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0063-2018-0008
The work was supported by the Russian Academy of Sciences (project 0063-2018-0008).
Received: 11.07.2018
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. N. Sinitsyn, V. I. Sinitsyn, “Analytical modeling of processes in Volterra stochastic systems by the canonical expansions method”, Sistemy i Sredstva Inform., 29:1 (2019), 109–127
Citation in format AMSBIB
\Bibitem{SinSin19}
\by I.~N.~Sinitsyn, V.~I.~Sinitsyn
\paper Analytical modeling of processes in Volterra stochastic systems by the canonical expansions method
\jour Sistemy i Sredstva Inform.
\yr 2019
\vol 29
\issue 1
\pages 109--127
\mathnet{http://mi.mathnet.ru/ssi627}
\crossref{https://doi.org/10.14357/08696527190110}
\elib{https://elibrary.ru/item.asp?id=37625966}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Системы и средства информатики
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