Nilpotent centres via inverse integrating factors

被引：13

作者：

Algaba, Antonio ^{[1
]}

Garcia, Cristobal ^{[1
]}

Gine, Jaume ^{[2
]}

机构：

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

[2] Univ Lleida, Escola Politecn Super, Dept Matemat, Ave Jaume 2,69, Lleida 25001, Catalonia, Spain

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2016年 / 27卷 / 05期

关键词：

non-linear differential systems; integrability problem; nilpotent centre problem; LIMIT-CYCLES; DIFFERENTIAL-EQUATIONS; SYSTEMS; INTEGRABILITY; REVERSIBILITY; BIFURCATIONS; EXISTENCE; MONODROMY; POINT;

D O I：

10.1017/S0956792516000103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are interested in the nilpotent centre problem of planar analytic monodromic vector fields. It is known that the formal integrability is not enough to characterize such centres. More general objects are considered as the formal inverse integrating factors. However, the existence of a formal inverse integrating factor is not sufficient to describe all the nilpotent centres. For the family studied in this paper, it is enough.

引用

页码：781 / 795

页数：15

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