Geodesic
Examples of nine-order integrable dynamical systems with dissipation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 68-81

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In this paper, the integrability of some classes of homogeneous with respect to a part of variables ninth-order dynamical systems, in which a system on the tangent bundle to four-dimensional manifolds is distinguished. In this case, force fields have a dissipation of different signs and are generalizations of those considered earlier.
Keywords: dynamical system, nonconservative force fields, integrability, transcendental first integral. 
@article{INTO_2020_187_a7,
     author = {M. V. Shamolin},
     title = {Examples of nine-order integrable dynamical systems with dissipation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {68--81},
     publisher = {mathdoc},
     volume = {187},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_187_a7/}
}
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M. V. Shamolin. Examples of nine-order integrable dynamical systems with dissipation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 68-81. http://geodesic.mathdoc.fr/item/INTO_2020_187_a7/