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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2007, Volume 13, Number 2, Pages 43–54 (Mi timm87)  
This article is cited in 3 scientific papers (total in 3 papers)

The autoresonance threshold in a system of weakly coupled oscillators

S. G. Glebov, O. M. Kiselev, V. A. Lazarev
Full-text PDF (344 kB) Citations (3)
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Abstract: A system of two weakly coupled oscillators is investigated. It is shown that under an external periodic perturbation a capture into resonance may occur. A description of this effect by the methods of asymptotic analysis, as well as a numerical simulation, is presented. An explicit formula for the threshold value of the perturbation amplitude at which the resonance occurs is obtained.
Received: 19.04.2007
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2007, Volume 259, Issue 2, Pages S111–S123
DOI: https://doi.org/10.1134/S0081543807060077
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: S. G. Glebov, O. M. Kiselev, V. A. Lazarev, “The autoresonance threshold in a system of weakly coupled oscillators”, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 2, 2007, 43–54; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S111–S123
Citation in format AMSBIB
\Bibitem{GleKisLaz07}
\by S.~G.~Glebov, O.~M.~Kiselev, V.~A.~Lazarev
\paper The autoresonance threshold in a~system of weakly coupled oscillators
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2007
\vol 13
\issue 2
\pages 43--54
\mathnet{http://mi.mathnet.ru/timm87}
\elib{https://elibrary.ru/item.asp?id=12040767}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2007
\vol 259
\issue , suppl. 2
\pages S111--S123
\crossref{https://doi.org/10.1134/S0081543807060077}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38949114333}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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