This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in . We prove that this differential system has four 3-dimensional invariant manifolds and we give a complete description of its dynamics on these invariant manifolds. In particular, each of these invariant manifolds are fulfilled by periodic orbits except in a zero Lebesgue measure set.

中文翻译：

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关于so​​(4)上欧拉方程的动力学

本文讨论李代数so(4)上的欧拉方程。这些方程由 中的多项式微分系统给出。我们证明了这个微分系统有四个 3 维不变流形，我们在这些不变流形上给出了它的动力学的完整描述。特别是，这些不变流形中的每一个都由周期轨道满足，除了在零勒贝格测度集中。