| 一类不连续平面二次微分系统的极限环 |
| |
| 引用本文： | 李时敏,赵育林,岑秀丽.一类不连续平面二次微分系统的极限环[J].中国科学:数学,2015,45(1):43-52. |
| |
| 作者姓名： | 李时敏 赵育林 岑秀丽 |
| |
| 作者单位： | 广东财经大学数学与统计学院, 广州 510320;
中山大学数学与计算科学学院, 广州 510275 |
| |
| 基金项目： | 国家自然科学基金(批准号: 11171355 和11401111) 和广东财经大学校级课题(批准号: 13YB11001) 资助项目 |
| |
| 摘 要： | 本文考虑了一类不连续平面二次可积非Hamilton微分系统在二次扰动下的极限环个数问题.利用一阶平均法,我们得到了从该系统中心的周期环域至少可以分支出5个极限环的结论.该结果表明不连续二次微分系统比其相应光滑微分系统至少可以多分支出2个极限环.
|
| 关 键 词： | 极限环 平均法 不连续微分系统 |
Limit cycles for a class of discontinuous planar quadratic differential system |
| |
| LI ShiMin,ZHAO YuLin,CEN XiuLi.Limit cycles for a class of discontinuous planar quadratic differential system[J].Scientia Sinica Mathemation,2015,45(1):43-52. |
| |
| Authors: | LI ShiMin ZHAO YuLin CEN XiuLi |
| |
| Abstract: | In this paper, we consider the number of limit cycles for a class of discontinuous planar quadratic integrable non-Hamiltonian system under quadratic perturbation. Using the rst order averaging method, we obtain that there are at least 5 limit cycles which can bifurcate from the period annulus of the center for this system. Our result also shows that the discontinuous quadratic system can have at least 2 more limit cycles than the smooth one. |
| |
| Keywords: | limit cycles averaging method discontinuous differential system |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《中国科学:数学》浏览原始摘要信息 |
| 点击此处可从《中国科学:数学》下载免费的PDF全文 |
