| 一类可逆四次微分系统的细中心 |
| |
| 引用本文： | 陈兴武,张伟年.一类可逆四次微分系统的细中心[J].四川大学学报(自然科学版),2004,41(2):251-255. |
| |
| 作者姓名： | 陈兴武 张伟年 |
| |
| 作者单位： | 四川大学数学学院,成都,610064 |
| |
| 摘 要： | 讨论了一类相应三次系统具有等时中心的可逆四次多项式微分系统的细中心．应用多项式结式计算方法确定了本四次系统的细中心阶数，并给出其具有等时中心的条件．
|
| 关 键 词： | 可逆系统 非线性等时中心 细中心 结式 |
Weak Centers of a Cubic Isochrone Perturbed by Fourth Degree Homogeneous Polynomial |
| |
| Abstract.Weak Centers of a Cubic Isochrone Perturbed by Fourth Degree Homogeneous Polynomial[J].Journal of Sichuan University (Natural Science Edition),2004,41(2):251-255. |
| |
| Authors: | Abstract |
| |
| Abstract: | The authors discussed a reversible polynomial differential system of fourth degree, which is a system of cubic isochrone perturbed by fourth degree homogeneous polynomial. By computing resultants of polynomials, orders of weak centers are detremined. Moreover, conditions for the system to have an isochrone at the origin are given. |
| |
| Keywords: | reversible system nonlinear isochrone weak center resultant CLC number:O193Document code:A |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
