Geodesic
Examples of integrable dynamical systems of arbitrary odd order with dissipation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Tome 195 (2021), pp. 142-156

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In this paper, we prove the integrability of some classes of odd-order homogeneous (in some variables) dynamical systems that admit extracting a system on the tangent bundle to a smooth manifold.
Keywords: dynamical system, nonconservative force field, integrability, transcendental first integral. 
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     author = {M. V. Shamolin},
     title = {Examples of integrable dynamical systems of arbitrary odd order with dissipation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {142--156},
     publisher = {mathdoc},
     volume = {195},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_195_a16/}
}
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M. V. Shamolin. Examples of integrable dynamical systems of arbitrary odd order with dissipation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Tome 195 (2021), pp. 142-156. http://geodesic.mathdoc.fr/item/INTO_2021_195_a16/