Geodesic
Dissipative Integrable Systems on the Tangent Bundles of $2$- and~$3$-Dimensional Spheres
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 145 (2018), pp. 86-94

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In this paper, we prove the explicit integrability of certain classes of dynamical systems on the tangent bundles of $2$- and $3$-dimensional spheres in the case where forces are fields with so-called variable dissipation.
Keywords: dynamical system, dissipation, transcendental first integral, integrability. 
@article{INTO_2018_145_a1,
     author = {M. V. Shamolin},
     title = {Dissipative {Integrable} {Systems} on the {Tangent} {Bundles} of $2$- and~$3${-Dimensional} {Spheres}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {86--94},
     publisher = {mathdoc},
     volume = {145},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_145_a1/}
}
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M. V. Shamolin. Dissipative Integrable Systems on the Tangent Bundles of $2$- and~$3$-Dimensional Spheres. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 145 (2018), pp. 86-94. http://geodesic.mathdoc.fr/item/INTO_2018_145_a1/