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.

中文翻译：

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耗散的可积九阶系统的新情况

摘要

对于某些类别的九阶动力系统，在变量的一部分上显示出了可积性，其中，与四维流形相切束上的系统被选出。在这种情况下，力场具有不同的符号耗散并且概括了先前考虑的情况。