数学的实践与认识
數學的實踐與認識
수학적실천여인식
MATHEMATICS IN PRACTICE AND THEORY
2009年
17期
159-164
,共6页
多项式系统%反射函数%周期解
多項式繫統%反射函數%週期解
다항식계통%반사함수%주기해
polynomial differential system%reflective function%periodic solution
给出了多项式微分系统的反射函数第一分量不依赖于第二变量的的充要条件,并应用所得结论研究了周期多项式系统周期解的几何性态.
給齣瞭多項式微分繫統的反射函數第一分量不依賴于第二變量的的充要條件,併應用所得結論研究瞭週期多項式繫統週期解的幾何性態.
급출료다항식미분계통적반사함수제일분량불의뢰우제이변량적적충요조건,병응용소득결론연구료주기다항식계통주기해적궤하성태.
We established the necessary and sufficient conditions for that the first component of reflective function of the polynomial differential systems does not depend of the second variate. The results are applyied to discuss the geometric property of the periodic solutions of the polynomial differential systems.
