Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 6, Pages 59–63 (Mi vmumm455)  
This article is cited in 7 scientific papers (total in 7 papers)

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On a nonlinear isochronous system

V. M. Budanov

Lomonosov Moscow State University, Institute of Mechanics
Full-text PDF (361 kB) Citations (7)
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Abstract: A system of nonlinear ordinal differential equations of second order is considered. It is shown analytically that the solutions of this system are isochronous, which is not characteristic for nonlinear systems. It is also shown that the periodic delta-function is a limiting case for the solution if the amplitude tends to infinity.
Key words: nonlinear system, isochronous oscillations.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 13.G36.31.002
02.G25.31.0030
Received: 13.06.2012
English version:
Moscow University Mechanics Bulletin, 2013, Volume 68, Issue 6, Pages 145–148
DOI: https://doi.org/10.3103/S0027133013060034
Bibliographic databases:
Document Type: Article
UDC: 514.85
Language: Russian
Citation: V. M. Budanov, “On a nonlinear isochronous system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 6, 59–63; Moscow University Mechanics Bulletin, 68:6 (2013), 145–148
Citation in format AMSBIB
\Bibitem{Bud13}
\by V.~M.~Budanov
\paper On a nonlinear isochronous system
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 6
\pages 59--63
\mathnet{http://mi.mathnet.ru/vmumm455}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2013
\vol 68
\issue 6
\pages 145--148
\crossref{https://doi.org/10.3103/S0027133013060034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84892620260}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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