| 一类Z_2对称五次微分系统的中心条件和极限环分支 |
| |
| 引用本文： | 桑波.一类Z_2对称五次微分系统的中心条件和极限环分支[J].数学杂志,2016,36(5):1040-1046. |
| |
| 作者姓名： | 桑波 |
| |
| 作者单位： | 聊城大学数学科学学院, 山东 聊城 252059 |
| |
| 基金项目： | 数学天元基金资助项目(11226041). |
| |
| 摘 要： | 本文研究了一类Z2对称五次微分系统的中心条件和小振幅极限环分支.通过前6阶焦点量的计算,获得了原点为中心的充要条件,并证明系统从原点分支出的小振幅极限环的个数至多为6.最后通过构造后继函数,给出系统具有6个围绕原点的小振幅极限环的实例.
|
| 关 键 词： | 五次系统 焦点量 极限环 后继函数 |
| 收稿时间： | 2014/3/24 0:00:00 |
| 修稿时间： | 2014/5/12 0:00:00 |
CENTER CONDITIONS AND BIFURCATIONS OF LIMIT CYCLES FOR A CLASS OF QUINTIC DIFFERENTIAL SYSTEMS WITH Z2 SYMMETRY |
| |
| SANG Bo.CENTER CONDITIONS AND BIFURCATIONS OF LIMIT CYCLES FOR A CLASS OF QUINTIC DIFFERENTIAL SYSTEMS WITH Z2 SYMMETRY[J].Journal of Mathematics,2016,36(5):1040-1046. |
| |
| Authors: | SANG Bo |
| |
| Institution: | School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China |
| |
| Abstract: | In this paper, the center conditions and bifurcations of small amplitude limit cycles for a class of quintic systems with Z2 symmetry are investigated. By the computations of the first six focal quantities, the necessary and sufficient conditions for the origin to be center are derived, and the maximal number of small amplitude limit cycles is proved to be 6. Finally, by constructing displacement function, a concrete example of quintic system is proved to have six small amplitude limit cycles around the origin. |
| |
| Keywords: | quintic system focal quantity limit cycle displacement function |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
