一类平面多项式系统的周期函数的临界周期个数  

The Number of Critical Periods for a Planar Polynomial System

作　　者：陈燕燕[1] 

机构地区：[1]广州科技贸易职业学院基础部,广东广州511442

出　　处：《韩山师范学院学报》2009年第6期17-20,共4页Journal of Hanshan Normal University

摘　　要：讨论了一类平面多项式系统的周期函数的临界周期的个数.首先将周期函数T(ρ,ε)写成T(ρ,ε)=2π+sum from i=1 to∞T_i(ρ)ε~i的形式,然后给出T_i(ρ)的计算方式,利用这一结果,估计了该系统的一阶和二阶临界周期个数的上界.This paper is concerned with the study of the number of critical periods for a planarpolynomial system.Firstly,the period function can be written as T(ρ,ε)=2π+(?)T_i(ρ)ε~i,andthen the formulas for T_i(ρ) is given.Afterwards we also get the upper bound for the number ofthe positive simple zeros of the function T′_1(ρ)and the one of T′_2(ρ) with T_1(ρ)=0 respectively.

关 键 词：周期函数 临界点 多项式系统 

分 类 号：O175.12[理学—数学]