Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, Number 6, Pages 29–38 (Mi vmumm3638)  

Mechanics

Integrable systems with many degrees of freedom and with dissipation

M. V. Shamolin

Lomonosov Moscow State University, Institute of Mechanics

Abstract: In this study, we show the integrability of certain classes of dynamic systems on the tangent bundle to a multi-dimensional manifold. In this case, the force fields have variable dissipation and generalize the cases considered previously.

Key words: dynamic equations, integrability, transcendental first integral.

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English version:
Moscow University Mechanics Bulletin, 2019, 74:6, 137–146

Bibliographic databases:

UDC: 517.01+531.01
Received: 24.04.2018

Citation: M. V. Shamolin, “Integrable systems with many degrees of freedom and with dissipation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 6, 29–38; Moscow University Mechanics Bulletin, 74:6 (2019), 137–146

Citation in format AMSBIB
\Bibitem{Sha19}
\by M.~V.~Shamolin
\paper Integrable systems with many degrees of freedom and with dissipation
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2019
\issue 6
\pages 29--38
\mathnet{http://mi.mathnet.ru/vmumm3638}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2019
\vol 74
\issue 6
\pages 137--146
\crossref{https://doi.org/10.3103/S0027133019060013}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85078203506}


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