Geodesic
Examples of Integrable Systems with Dissipation on the Tangent Bundles of Four-Dimensional Manifolds
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 150 (2018), pp. 119-129.

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In this paper, we prove the integrability of certain classes of dynamical systems on the tangent bundles of four-dimensional manifolds (systems with four degrees of freedom). Force field considered possess so-called variable dissipation; they are generalizations of fields studied earlier. This paper continues earlier works of the author devoted to systems on the tangent bundles of two- and three-dimensional manifolds.
Keywords: multidimensional dynamical system, nonconservative force field, integrability, transcendental first integral. 
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M. V. Shamolin. Examples of Integrable Systems with Dissipation on the Tangent Bundles of Four-Dimensional Manifolds. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 150 (2018), pp. 119-129. http://geodesic.mathdoc.fr/item/INTO_2018_150_a6/

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