| 正二阶快-慢系统中的奇性同宿轨道和极限环 |
| |
| 引用本文： | 肖箭,盛立人. 正二阶快-慢系统中的奇性同宿轨道和极限环[J]. 数学研究及应用, 2004, 24(1): 49-54 |
| |
| 作者姓名： | 肖箭 盛立人 |
| |
| 作者单位： | 安徽大学数学系,安徽,合肥,230039 |
| |
| 基金项目： | Natural Science Foundation of Anhui Education Committee(2000J1008) |
| |
| 摘 要： | 本文研究一类正二阶快-慢系统中奇性同宿轨道和极限环,并且给出了此系统存在奇性同宿轨道和极限环的充分条件.
|
| 关 键 词： | 同宿轨道 极限环 奇摄动 慢流形 |
| 收稿时间： | 2001-05-14 |
Singular Homoclinic Orbits and Limit Cycles in Positive Second Order Slow-Fast Systems |
| |
| XIAO Jian and SHENG Li-ren. Singular Homoclinic Orbits and Limit Cycles in Positive Second Order Slow-Fast Systems[J]. Journal of Mathematical Research with Applications, 2004, 24(1): 49-54 |
| |
| Authors: | XIAO Jian and SHENG Li-ren |
| |
| Affiliation: | Dept. of Math.; Auhui University; Hefei; China;Dept. of Math.; Auhui University; Hefei; China |
| |
| Abstract: | In the paper we consider a wide class of slow-fast second order systems and give sufficient conditions for the existence of a singular limit cycle related to a homoclinic orbit. |
| |
| Keywords: | homoclinic orbit limit cycle singular perturbation slow manifold. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
