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
收藏
页码：4015 / 4025
页数：11
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