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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 9, Pages 1605–1616 (Mi zvmmf413)  
This article is cited in 7 scientific papers (total in 7 papers)

Asymptotic solution to the problem of autoresonance: Outer expansion

R. N. Garifullin

Institute of Mathematics and Computing Center, Ufa Science Center, Russian Academy of Sciences, ul. Chernyshevskogo 112, Ufa, 450077, Russia
Full-text PDF (1572 kB) Citations (7)
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Abstract: The autoresonance phenomenon (phase locking) is studied for a nonlinear second-order ordinary differential equation. Using the matching method and the multiple scale method, a two-parameter asymptotic solution to this equation is constructed.
Key words: second-order ordinary differential equation, autoresonance phenomenon, asymptotic method.
Received: 18.03.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 9, Pages 1526–1538
DOI: https://doi.org/10.1134/S0965542506090065
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: R. N. Garifullin, “Asymptotic solution to the problem of autoresonance: Outer expansion”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006), 1605–1616; Comput. Math. Math. Phys., 46:9 (2006), 1526–1538
Citation in format AMSBIB
\Bibitem{Gar06}
\by R.~N.~Garifullin
\paper Asymptotic solution to the problem of autoresonance: Outer expansion
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 9
\pages 1605--1616
\mathnet{http://mi.mathnet.ru/zvmmf413}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2287661}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 9
\pages 1526--1538
\crossref{https://doi.org/10.1134/S0965542506090065}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748996486}
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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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :120
    References:47
    First page:1
     
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