The integrability problem for a class of planar systems
The integrability problem for a class of planar systems
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DOI：
10.1088/0951-7715/22/2/009
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发表时间：
2009-02
期刊：
影响因子：
1.7
通讯作者：
A. Algaba;E. Gamero;C. García
中科院分区：
文献类型：
--
作者：
A. Algaba;E. Gamero;C. García
本文研究拟齐次平面Hamilton系统的扰动，其中Hamilton函数不包含多重因子。重要的是要注意，最有趣的情况（线性鞍，线性中心，幂零情况等）属于这一类。对于这类系统，我们将可积性问题与规范形理论联系起来，刻画了可积性问题。
In this paper we consider perturbations of quasi-homogeneous planar Hamiltonian systems, where the Hamiltonian function does not contain multiple factors. It is important to note that the most interesting cases (linear saddle, linear centre, nilpotent case, etc) fall into this category. For such kinds of systems, we characterize the integrability problem, by connecting it with the normal form theory.