Liouville可积性：一个有效的Morales-Ramis-Simó定理
Liouville integrability: an effective Morales-Ramis-Simó theorem
摘要：
考虑一个复哈密顿系统和一条积分曲线。本文给出了一种有效的方法，只要任意阶的变分方程是一个交换李代数的约化形式，就可以将它沿积分曲线约化.这样，我们得到了一个检验判定哈密顿系统亚纯Liouville可积性的Morales-Ramis-Simó准则的有效方法.
英文摘要：
Consider a complex Hamiltonian system and an integral curve. In this paper, we give an effective and efficient procedure to put the variational equation of any order along the integral curve in reduced form provided that the previous one is in reduced form with an abelian Lie algebra. Thus, we obtain an effective way to check the Morales-Ramis-Simó criterion for testing meromorphic Liouville integrability of Hamiltonian systems.
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