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

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Abstract

The integrability of certain classes of dynamic systems is shown on the tangent bundles to twodimensional manifolds. In this case, the force fields have the so-called variable dissipation and generalize the previously considered fields.

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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. 475, No. 5, pp. 519–523.

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Shamolin, M.V. New cases of integrable systems with dissipation on a tangent bundle of a two-dimensional manifold. Dokl. Phys. 62, 392–396 (2017). https://doi.org/10.1134/S1028335817080067

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  • DOI: https://doi.org/10.1134/S1028335817080067

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