THE MULTIPLICITY OF ZERO AND LIMIT CYCLES FOR ABEL EQUATIONS

被引：0
|
作者：
ZHANG Xiang (Department of Mathematics
机构：
来源：
Journal of Systems Science & Complexity | 2001年 / 02期
基金：
中国国家自然科学基金;
关键词：
Abel equation; multiplicity; limit cycle;
D O I：
暂无
中图分类号：
O174.54 [椭圆函数、阿贝尔函数、自守函数]; O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper we will investigate the multiplicity of zero solution for a class of Abel equation, and obtain better estimation on multiplicity than that given by Alwash and Lloyd for the equation of a certain form, and solve a conjecture posed by Ye Yanqian for the equation of another form. As a by-product, the considered equation may have at least four small amplitude limit cycles. The method of this paper is useful for computing the focal value of a critical point of focus type for polynomial system that can be transformed into Abel equation or Abel form.
引用
收藏
页码：165 / 173
页数：9
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