Title | Integrable systems with dissipation and finitely many degrees of freedom |
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Authors | M. V. Shamolin^{1}^{1}Lomonosov Moscow State University |

Annotation | We establish the integrability for some classes of dynamic systems on the tangent bundles of multidimensional manifolds. We consider the case where the force fields possess variable dissipation. An example of a four-dimensional manifold is discussed in detail. |

Keywords | dynamical system, variable dissipation, integrability, transcendental first integral. |

Citation | Shamolin M. V. ''Integrable systems with dissipation and finitely many degrees of freedom'' [Electronic resource]. Proceedings of the XIV International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 9-12, 2019). Saransk: SVMO Publ, 2019. - pp. 160-172. Available at: https://conf.svmo.ru/files/2019/papers/paper42.pdf. - Date of access: 01.10.2023. |

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