Abstract
Integrability is shown for certain classes of ninth-order dynamic systems homogeneous on the part of variables in which a system on the tangent bundle to the four-dimensional manifolds is singled out. In this case, the force fields have dissipation of different signs and generalize the situations considered previously.
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Translated by V. Bukhanov
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Shamolin, M.V. New Cases of Integrable Ninth-Order Systems with Dissipation. Dokl. Phys. 64, 487–493 (2019). https://doi.org/10.1134/S1028335819120115
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DOI: https://doi.org/10.1134/S1028335819120115