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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2016, Number 2(13), Pages 43–49
DOI: https://doi.org/10.18454/2079-6641-2016-13-43-49
(Mi vkam130)
 

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

MATHEMATICAL MODELING

Mathematical modeling of nonlinear oscillators hereditarity example Duffing oscillator with fractional derivatives in the Riemann-Liouville

I. V. Drobysheva

Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
Full-text PDF (680 kB) Citations (2)
References:
Abstract: The paper presents a mathematical model hereditarity Duffing oscillator with friction, which is a generalization of previously known classical model of Duffing oscillator. This generalization is replaced in the model equation integral derivative on derivatives of fractional order in the sense of Riemann-Liouville. Built explicit finite difference scheme for calculating approximate solutions, as well as the phase trajectories for different values of the control parameters.
Keywords: Riemann-Liouville derivative Grunwald-Letnikova, hereditarity, Duffing oscillator, phase trajectory.
Received: 18.03.2016
English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, Volume 13, Issue 2, Pages 39–45
DOI: https://doi.org/10.18454/2313-0156-2016-13-2-39-45
Bibliographic databases:
Document Type: Article
UDC: 517. 925.42
MSC: 34C26
Language: Russian
Citation: I. V. Drobysheva, “Mathematical modeling of nonlinear oscillators hereditarity example Duffing oscillator with fractional derivatives in the Riemann-Liouville”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 2(13), 43–49; Bulletin KRASEC. Phys. & Math. Sci., 13:2 (2016), 39–45
Citation in format AMSBIB
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\by I.~V.~Drobysheva
\paper Mathematical modeling of nonlinear oscillators hereditarity example Duffing oscillator with fractional derivatives in the Riemann-Liouville
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2016
\issue 2(13)
\pages 43--49
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\crossref{https://doi.org/10.18454/2079-6641-2016-13-43-49}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3535556}
\elib{https://elibrary.ru/item.asp?id=26527428}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2016
\vol 13
\issue 2
\pages 39--45
\crossref{https://doi.org/10.18454/2313-0156-2016-13-2-39-45}
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  • https://www.mathnet.ru/eng/vkam/y2016/i2/p43
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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