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一类六对称五次多项式系统等时性的判定
引用本文:吴玉森,张翠.一类六对称五次多项式系统等时性的判定[J].洛阳师范学院学报,2011,30(5):5-8.
作者姓名:吴玉森  张翠
作者单位:1. 河南科技大学数学与统计学院,河南,洛阳,471003
2. 洛阳师范学院数学科学学院,河南,洛阳,471022
摘    要:本文研究了一类六对称五次多项式微分系统的等时性问题,给出了该系统奇点的周期常数的递推公式,并判定了该系统不存在等时中心.

关 键 词:六对称五次系统  周期常数  等时中心

The Discrimination of Isochronicity for A Class of Quintic Equivalent Polynomial Differential System
WU Yu-sen,ZHANG Cui.The Discrimination of Isochronicity for A Class of Quintic Equivalent Polynomial Differential System[J].Journal of Luoyang Teachers College,2011,30(5):5-8.
Authors:WU Yu-sen  ZHANG Cui
Institution:WU Yu-sen1,ZHANG Cui2(1.School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471003,China,2.College of Mathematics and Science,Luoyang Normal University,Luoyang 471022,China)
Abstract:This paper investigates the isochronous center problem for a class of quintic Z6-equivalent polynomial differential system,derives the recursive formulae to compute the period constants at the origin,and concludes that the singular points of the system can not be isochronous center.
Keywords:quintic  Z6-equivalent polynomial system  period constant  isochronous center  
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