Center and Isochronous Center Problems for Quasi Analytic Systems

被引：0
作者：
Yi Rong LIU Department of Mathematics
机构：
来源：
Acta Mathematica Sinica(English Series) | 2008年 / 24卷 / 09期
基金：
中国国家自然科学基金;
关键词：
generalized focal value; center integral; periodic constant; isochronous center; quasianalytic planar differential system;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
This paper considers the problems of determining center or focus and isochronous centersfor the planar quasi-analytic systems.Two recursive formulas to determine the focal values and periodconstants are given.The convergence of first integral near the center is proved.Using the generalresults to quasi-quadratic systems,the problem of the isochronous center of the origin is completelysolved.
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收藏
页码：1569 / 1582
页数：14
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