On non-integrability of general systems of differential equations
On non-integrability of general systems of differential equations
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DOI：
10.1007/bf00917577
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
S. Furta
中科院分区：
文献类型：
--
作者：
S. Furta
本文旨在寻找非Hamilton微分方程组不可积的代数判据。其主要思想是使用所谓的Kowalevsky指数来揭示所考虑的系统是否可积。本文使用的方法是基于H.吉田本文建议改进上述技术，使其可以应用于更广泛的一类微分方程。
The article is aimed at finding an algebraic criterion of non-integrability of non-Hamiltonian systems of differential equations. The main idea is to use the so-called Kowalevsky exponents to reveal whether the system under consideration is integrable or not. The method used in this article is based on previous works by H. Yoshida. The article suggests improving the above technique in such a way that it can be applied to a wider class of differential equations.