| 正二阶快-慢系统中的奇性同宿轨道和极限环 |
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| 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. |
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| 作者姓名： | 肖箭 盛立人 |
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| 作者单位： | 安徽大学数学系,安徽,合肥,230039 |
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| 基金项目： | Natural Science Foundation of Anhui Education Committee(2000J1008) |
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| 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.
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| 关 键 词： | 同宿轨道 极限环 奇摄动 慢流形 |
| 收稿时间： | 2001/5/14 0:00:00 |
Singular Homoclinic Orbits and Limit Cycles in Positive Second Order Slow-Fast Systems |
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| 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. |
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| Authors: | XIAO Jian and SHENG Li-ren |
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| Institution: | Dept. of Math.; Auhui University; Hefei; China;Dept. of Math.; Auhui University; Hefei; China |
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| 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. |
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| Keywords: | homoclinic orbit limit cycle singular perturbation slow manifold |
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