The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems

被引:4
|
作者
Du Chaoxiong [1 ]
机构
[1] Hunan Shaoyang Univ, Dept Math, Shaoyang 422000, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
REVERSIBLE CUBIC SYSTEMS; LIMIT-CYCLES; QUINTIC SYSTEMS; CENTERS; LINEARIZABILITY; BIFURCATION; CONSTANTS; INFINITY;
D O I
10.1155/2014/482450
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study a class of quasi symmetric seventh degree systems and obtain the conditions that its two singular points can be two centers at the same step by careful computing and strict proof. In addition, the condition of an isochronous center is also given. In terms of quasi symmetric systems, our work is interesting and obtained conclusions about bicenters are new.
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页数:11
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