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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 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
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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.
Received: 24.04.2018
English version:
Moscow University Mechanics Bulletin, 2019, Volume 74, Issue 6, Pages 137–146
DOI: https://doi.org/10.3103/S0027133019060013
Bibliographic databases:
Document Type: Article
UDC: 517.01+531.01
Language: Russian
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
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