Abstract

The integrability of certain classes of homogeneous dynamical systems on the tangent bundles of four-dimensional manifolds is shown. The force fields involved in the systems lead to dissipation of variable sign and generalize previously considered fields.

中文翻译：

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四维流形切丛上有耗散的齐次可积系统的新案例

摘要

显示了某些类别的齐次动力系统在四维流形的切丛上的可积性。系统中涉及的力场导致可变符号的耗散并概括先前考虑的场。