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.

中文翻译：

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具有耗散的可积奇次系统的新案例

摘要 本文展示了某些类奇阶动力系统的可积性，这些系统对于某些变量是齐次的，并且在光滑流形切丛上的系统是可区分的。在这种情况下，力场具有不同符号的耗散，并概括了先前考虑的情况。