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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2015, Number 1(10), Pages 18–24
DOI: https://doi.org/10.18454/2079-6641-2015-10-1-18-24 (Mi vkam17) 		 
This article is cited in 7 scientific papers (total in 7 papers)

MATHEMATICAL MODELING

Mathematical modeling of nonlocal oscillatory Duffing system with fractal friction

R. I. Parovikab

a Institute of Cosmophysical Researches and Radio Wave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
b Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
English version PDF (381 kB) Citations (7) Russian version article
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DOI: https://doi.org/10.18454/2079-6641-2015-10-1-18-24
Abstract: The paper considers a nonlinear fractal oscillatory Duffing system with friction. The numerical analysis of this system by a finite-difference scheme was carried out. Phase portraits and system solutions were constructed depending on fractional parameters
Keywords: Gerasimov-Caputo operator, phase portrait, Duffing oscillator, finite-difference scheme.
Received: 13.04.2015
English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2015, Volume 10, Issue 1, Pages 16–21
DOI: https://doi.org/10.18454/2313-0156-2015-10-1-16-21
Bibliographic databases:
Document Type: Article
UDC: 517.925.42
MSC: 37C70
Language: Russian
Citation: R. I. Parovik, “Mathematical modeling of nonlocal oscillatory Duffing system with fractal friction”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2015, no. 1(10), 18–24; Bulletin KRASEC. Phys. & Math. Sci., 10:1 (2015), 16–21
Citation in format AMSBIB
\Bibitem{Par15}
\by R.~I.~Parovik
\paper Mathematical modeling of nonlocal oscillatory Duffing system with fractal friction
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2015
\issue 1(10)
\pages 18--24
\mathnet{http://mi.mathnet.ru/vkam17}
\crossref{https://doi.org/10.18454/2079-6641-2015-10-1-18-24}
\elib{https://elibrary.ru/item.asp?id=23564564}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2015
\vol 10
\issue 1
\pages 16--21
\crossref{https://doi.org/10.18454/2313-0156-2015-10-1-16-21}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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    Abstract page:285
    Russian version PDF:90
    English version PDF:13
    References:91
     
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