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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 1, Pages 41–52
DOI: https://doi.org/10.33048/sibjim.2019.22.105
(Mi sjim1031)
 

This article is cited in 1 scientific paper (total in 1 paper)

Analysis of the effect of random noise on synchronization in a system of two coupled duffing oscillators

A. A. Ivanov

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akad. Lavrentieva 6, 630090 Novosibirsk
References:
Abstract: Using the method of statistical modeling, the questions are studied of the effect of random noise on synchronization in the system of stochastic differential equations (SDE system) of two coupled Duffing oscillators. Calculation of various frequency characteristics for the numerical solution of a nonlinear SDE system is carried out by the generalized explicit Euler method. The results of numerical experiments are presented.
Keywords: stochastic differential equations, generalized Euler method, Monte Carlo method, synchronization, coupled Duffing oscillators, supercomputer, frequency integral curve, frequency phase portrait.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00698_а
18-01-00599_а
Received: 11.12.2017
Revised: 15.06.2018
Accepted: 15.12.2018
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 1, Pages 65–75
DOI: https://doi.org/10.1134/S1990478919010083
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: A. A. Ivanov, “Analysis of the effect of random noise on synchronization in a system of two coupled duffing oscillators”, Sib. Zh. Ind. Mat., 22:1 (2019), 41–52; J. Appl. Industr. Math., 13:1 (2019), 65–75
Citation in format AMSBIB
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\by A.~A.~Ivanov
\paper Analysis of the effect of random noise on synchronization in a system of two coupled duffing oscillators
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 1
\pages 41--52
\mathnet{http://mi.mathnet.ru/sjim1031}
\crossref{https://doi.org/10.33048/sibjim.2019.22.105}
\elib{https://elibrary.ru/item.asp?id=38683515}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 1
\pages 65--75
\crossref{https://doi.org/10.1134/S1990478919010083}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064911836}
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  • https://www.mathnet.ru/eng/sjim/v22/i1/p41
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский журнал индустриальной математики
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    References:39
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