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

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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. Kosov^a, A. V. Sinitsyn^b

^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

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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:

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Abstract page:	149
Full-text PDF :	73
References:	30

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