Geodesic
Integrable systems with many degrees of freedom and with dissipation
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2019), pp. 29-38

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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. 
@article{VMUMM_2019_6_a4,
     author = {M. V. Shamolin},
     title = {Integrable systems with many degrees of freedom and with dissipation},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {29--38},
     publisher = {mathdoc},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a4/}
}
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M. V. Shamolin. Integrable systems with many degrees of freedom and with dissipation. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2019), pp. 29-38. http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a4/