Geodesic
New cases of integrable odd-order systems with dissipation
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 491 (2020), pp. 95-101

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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.
Keywords: dynamical system, integrability, dissipation, transcendental first integral. 
@article{DANMA_2020_491_a19,
     author = {M. V. Shamolin},
     title = {New cases of integrable odd-order systems with dissipation},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {95--101},
     publisher = {mathdoc},
     volume = {491},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_491_a19/}
}
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M. V. Shamolin. New cases of integrable odd-order systems with dissipation. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 491 (2020), pp. 95-101. http://geodesic.mathdoc.fr/item/DANMA_2020_491_a19/