Abstract
This paper shows the integrability of certain classes of odd-order dynamical systems that are homogeneous with respect to some of the variables and in which a system on the tangent bundle of smooth manifolds is distinguished. In this case, the force fields have dissipation of different signs and generalize previously considered cases.
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Translated by I. Ruzanova
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Shamolin, M.V. New Cases of Integrable Odd-Order Systems with Dissipation. Dokl. Math. 101, 158–164 (2020). https://doi.org/10.1134/S1064562420020234
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DOI: https://doi.org/10.1134/S1064562420020234