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New cases of integrable systems with dissipation on the tangent bundle of a three-dimensional manifold

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Abstract

In this work, the integrability of some classes of dynamic systems on tangent bundles of threedimensional manifolds is demonstrated. The corresponding force fields possess the so-called variable dissipation and generalize those considered earlier.

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Correspondence to M. V. Shamolin.

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Original Russian Text © M.V. Shamolin, 2017, published in Doklady Akademii Nauk, 2017, Vol. 477, No. 2, pp. 168–171.

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Shamolin, M.V. New cases of integrable systems with dissipation on the tangent bundle of a three-dimensional manifold. Dokl. Phys. 62, 517–521 (2017). https://doi.org/10.1134/S1028335817110052

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  • DOI: https://doi.org/10.1134/S1028335817110052

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