| 一类奇异Lienard系统的鸭环的存在唯一性 |
| |
| 引用本文： | 尚德生.一类奇异Lienard系统的鸭环的存在唯一性[J].淄博学院学报(自然科学与工程版),2014(4):34-35. |
| |
| 作者姓名： | 尚德生 |
| |
| 作者单位： | 山东理工大学理学院,山东淄博255091 |
| |
| 摘 要： | 通过对一类奇异摄动系统的慢散度积分零点的存在唯一性讨论，得到所讨论的系统（L）一定有且只有唯一一个周期解存在，且这个周期解是由快轨道和慢轨道共同构成的鸭环，同时这个周期解是不稳定的．
|
| 关 键 词： | 奇异摄动 Lienard系统 慢散度积分 鸭环 不稳定 |
The existence and uniqueness of canard cycles of a kind of Lienard system |
| |
| SHANG De-sheng.The existence and uniqueness of canard cycles of a kind of Lienard system[J].Journal of Zibo University(Natural Sciences and Engineering),2014(4):34-35. |
| |
| Authors: | SHANG De-sheng |
| |
| Institution: | SHANG De-sheng (School of Science, Shandong University of Technology, Zibo 255091, China) |
| |
| Abstract: | By investigating the zeros of the slow divergence integral to singular perturbed Lienard system （L）, we obtain that this kind of system can have only one periodic solution. This periodic solution is the so-called canard cycle, which is made up of a fast trajectory and a slow trajectory, and the canard cycle is unstable. |
| |
| Keywords: | singular perturbed Lienard system slow divergence integral canard cycle unstable |
| 本文献已被 维普 等数据库收录！ |
