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Bulletin of Irkutsk State University. Series Mathematics, 2012, Volume 5, Issue 1, Pages 57–69 (Mi iigum58)  

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

Construction of the first integrals for a special class of nonlinear systems

A. A. Kosova, A. V. Sinitsynb

a Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (ISD&CT SB RAS); Post Box 292, 134, Lermontov Str., Irkutsk, 664033, Russia
b Universidad Nacional de Colombia, Bogota, Colombia
Full-text PDF (258 kB) Citations (2)
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Abstract: Existence conditions of the first integrals of a certain type for a class of nonlinear systems including vacuum diode model and its generalizations are obtained. The integrability of these diode models is justified.
Keywords: unresolved systems, first integrals, integrability, vacuum diode.
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. A. Kosov, A. V. Sinitsyn, “Construction of the first integrals for a special class of nonlinear systems”, Bulletin of Irkutsk State University. Series Mathematics, 5:1 (2012), 57–69
Citation in format AMSBIB
\Bibitem{KosSin12}
\by A.~A.~Kosov, A.~V.~Sinitsyn
\paper Construction of the first integrals for a special class of nonlinear systems
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2012
\vol 5
\issue 1
\pages 57--69
\mathnet{http://mi.mathnet.ru/iigum58}
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  • https://www.mathnet.ru/eng/iigum58
  • https://www.mathnet.ru/eng/iigum/v5/i1/p57
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :65
    References:24
     
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