On the center criterion of planar quasi-homogeneous polynomial differential systems

被引：2
|
作者：
Zhang, Liwei [1 ]
Yu, Jiang [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2018年 / 147卷
关键词：
Quasi-homogeneous polynomial differential system; Minimal weight vector; Center; CUBIC VECTOR-FIELDS; ISOCHRONOUS CENTERS; CLASSIFICATION;
D O I：
10.1016/j.bulsci.2018.04.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we characterize the centers of the quasi homogeneous planar polynomial differential systems of any degree n is an element of N. First, we prove that the system does not admit centers if n is even, then present the sufficient and necessary conditions that the system admits a center if n is odd. Furthermore, we provide a simple method to obtain such these systems with center for a given order. (C) 2018 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：7 / 25
页数：19
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