PLANAR QUASI-HOMOGENEOUS POLYNOMIAL SYSTEMS WITH A GIVEN WEIGHT DEGREE

被引：7

作者：

Xiong, Yanqin ^{[1
]}

Han, Maoan ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 07期

关键词：

Quasi-homogeneous polynomial system; weight degree; isochronous center; DIFFERENTIAL-SYSTEMS; VECTOR-FIELDS; 1ST INTEGRALS; CLASSIFICATION; CENTERS;

D O I：

10.3934/dcds.2016.36.4015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a class of quasi-homogeneous polynomial systems with a given weight degree. Firstly, by some analytical skills, several properties about this kind of systems are derived and an algorithm can be established to obtain all possible explicit systems for a given weight degree. Then, we focus on center problems for such systems and provide some necessary conditions for the existence of centers. Finally, for a specific quasi homogeneous polynomial system, we characterize its center and prove that the center is not isochronous.

引用

页码：4015 / 4025

页数：11

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