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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 9/1(110), Pages 35–41 (Mi vsgu397)  

This article is cited in 31 scientific papers (total in 31 papers)

Mathematics

Certain conditions of integrability of dynamical systems in transcendental functions

N. V. Pokhodnyaa, M. V. Shamolinb

a The Dept. of Mathematics and Physics, Sholokhov Moscow State University for the Humanities, Moscow, 109240, Russian Federation
b Institute of Mechanics, Moscow State University, Moscow, 119899, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: Certain general conditions of integrability in elementary functions for the systems on the tangent bundle of two-dimensional sphere are studied. At that an interesting example of three-dimensional phase pattern of pendulum-like system which describes the motion of spherical pendulum, placed in an over-run medium flow. Sufficient conditions of existence of the first integrals expressed through the finite combination of elementary functions, for multi-parametric third order systems are presented.
Keywords: variable dissipation dynamic system, integrability, transcendental first integral.
Received: 18.11.2013
Revised: 19.12.2013
Document Type: Article
UDC: 517.925+531.01
Language: Russian
Citation: N. V. Pokhodnya, M. V. Shamolin, “Certain conditions of integrability of dynamical systems in transcendental functions”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 9/1(110), 35–41
Citation in format AMSBIB
\Bibitem{PokSha13}
\by N.~V.~Pokhodnya, M.~V.~Shamolin
\paper Certain conditions of integrability of dynamical systems in transcendental functions
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2013
\issue 9/1(110)
\pages 35--41
\mathnet{http://mi.mathnet.ru/vsgu397}
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  • https://www.mathnet.ru/eng/vsgu/y2013/i91/p35
  • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного университета. Естественнонаучная серия
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    References:62
     
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