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Sistemy i Sredstva Informatiki [Systems and Means of Informatics], 2017, Volume 27, Issue 1, Pages 3–19
DOI: https://doi.org/10.14357/08696527170101
(Mi ssi499)
 

This article is cited in 2 scientific papers (total in 2 papers)

Analytical modeling of normal processes in stochastic systems with elliptic nonlinearities

I. N. Sinitsyn

Institute of Informatics Problems, Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
Full-text PDF (254 kB) Citations (2)
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Abstract: Analytical modeling methodological support and corresponding algorithms for normal (Gaussian) stochastic processes in differential stochastic systems (StS) with Jacobian elliptic nonlinearities based on statistical linearization and normal approximation methods are presented. Dynamics of Jacobian oscillator in stochastic media is the basis of the test example. Necessary information about elliptic integrals and elliptic Jacobi-functions and statistical linearization coefficients of basic Jacobian nonlinearities are given. The results may be generalized to other types of elliptic functions and functions related to them.
Keywords: analytical modeling; method of normal approximation (MNA); method of statistical linearization (MSL); Jacobian elliptic nonlinearity; Jacobian elliptic oscillator.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations III.3 (№ 0063-2016-0018)
The work was supported by the Program III.3 of the Department for Nanotechnologies and Information Technologies of the Russian Academy of Sciences (No. 0063-2016-0018).
Received: 08.02.2017
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. N. Sinitsyn, “Analytical modeling of normal processes in stochastic systems with elliptic nonlinearities”, Sistemy i Sredstva Inform., 27:1 (2017), 3–19
Citation in format AMSBIB
\Bibitem{Sin17}
\by I.~N.~Sinitsyn
\paper Analytical modeling of normal processes in stochastic systems with elliptic nonlinearities
\jour Sistemy i Sredstva Inform.
\yr 2017
\vol 27
\issue 1
\pages 3--19
\mathnet{http://mi.mathnet.ru/ssi499}
\crossref{https://doi.org/10.14357/08696527170101}
\elib{https://elibrary.ru/item.asp?id=29160542}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Системы и средства информатики
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