The integrability problem for a class of planar systems

被引：80

作者：

Algaba, A. ^{[1
]}

Gamero, E. ^{[2
]}

Garcia, C. ^{[1
]}

机构：

[1] Univ Huelva, Fac Ciencias, Dept Math, Huelva, Spain

[2] Univ Seville, Dept Appl Math 2, ESI, Seville, Spain

来源：

NONLINEARITY | 2009年 / 22卷 / 02期

关键词：

NORMAL FORMS; EQUIVALENCE; POINTS;

D O I：

10.1088/0951-7715/22/2/009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

收藏

页码：395 / 420

页数：26

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