Geodesic
Examples of Integrable Systems with Dissipation on the Tangent Bundles of Three-Dimensional Manifolds
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 150 (2018), pp. 110-118.

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In this paper, we prove the integrability of certain classes of dynamical systems on the tangent bundles of three-dimensional manifolds (systems with three degrees of freedom). Force field considered possess so-called variable dissipation; they are generalizations of fields studied earlier.
Keywords: dynamical system, nonconservative force field, integrability, transcendental first integral. 
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     title = {Examples of {Integrable} {Systems} with {Dissipation} on the {Tangent} {Bundles} of {Three-Dimensional} {Manifolds}},
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M. V. Shamolin. Examples of Integrable Systems with Dissipation on the Tangent Bundles of Three-Dimensional Manifolds. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 150 (2018), pp. 110-118. http://geodesic.mathdoc.fr/item/INTO_2018_150_a5/

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