| 带两个区域的平面分段光滑系统的非双曲极限环分岔 |
| |
| 引用本文： | 袁丽萍.带两个区域的平面分段光滑系统的非双曲极限环分岔[J].四川大学学报(自然科学版),2018,55(4):678-682. |
| |
| 作者姓名： | 袁丽萍 |
| |
| 作者单位： | 四川大学数学学院 |
| |
| 基金项目： | 国家自然科学基金(11371264) |
| |
| 摘 要： | 本文讨论了一类含有两条切换线的平面分段光滑系统的非双曲极限环的分岔.假设该系统的未扰系统含有一个非双曲极限环且它分别与每一条切换线横截相交一次,本文应用Diliberto定理和由此引出的变分引理导出了极限环的Poincaré映射,并讨论了极限环的稳定性及其在扰动下的分岔.
|
| 关 键 词： | 分段光滑系统 非双曲极限环 分岔 Poincare 映射 |
| 收稿时间： | 2017/12/8 0:00:00 |
| 修稿时间： | 2018/1/4 0:00:00 |
Bifurcation of nonhyperbolic limit cycles in piecewise smooth planar systems with two zones |
| |
| YUAN Li-Ping.Bifurcation of nonhyperbolic limit cycles in piecewise smooth planar systems with two zones[J].Journal of Sichuan University (Natural Science Edition),2018,55(4):678-682. |
| |
| Authors: | YUAN Li-Ping |
| |
| Institution: | College of Mathematics, Sichuan University |
| |
| Abstract: | In this paper we consider the bifurcation of nonhyperbolic limit cycles in a class of piecewise smooth planar systems with two zones. We assume that the unperturbed system has a nonhyperbolic limit cycle that crosses every switching line transversally exactly once. By using the Diliberto theorem and variation lemma we derive the Poincare map. Then we discuss the stability and bifurcation of the limit cycle. |
| |
| Keywords: | Piecewise smooth system Nonhyperbolic limit cycle Bifurcation Poincare map |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《四川大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《四川大学学报(自然科学版)》下载免费的PDF全文 |
