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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 9/1(110), Pages 35–41
(Mi vsgu397)
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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)
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
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
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https://www.mathnet.ru/eng/vsgu397 https://www.mathnet.ru/eng/vsgu/y2013/i91/p35
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Abstract page: | 234 | Full-text PDF : | 75 | References: | 62 |
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