Integrability and generalized center problem of resonant singular point

被引：13

作者：

Zhang, Qi ^{[1
]}

Liu, Yirong ^{[2
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China

[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2015年 / 40卷

基金：

中国国家自然科学基金;

关键词：

Generalized center; Integrability; Resonant singular point; Integrating factor; LINEARIZABILITY; SYSTEMS;

D O I：

10.1016/j.aml.2014.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, integrability and generalized center condition of resonant singular point for a broad class of complex autonomous polynomial differential system are studied. A new method integrating factor method of determining integrability of resonant singular point is obtained for any rational resonance ratio. At the same time, the relations of the first integral method and the integrating factor method with the normal form method are obtained. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：13 / 16

页数：4

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