| 广义Liénard方程极限环的惟一性问题 |
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| 引用本文： | 张平光,赵申琪.广义Liénard方程极限环的惟一性问题[J].数学学报,2004,47(6):1193-120. |
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| 作者姓名： | 张平光 赵申琪 |
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| 作者单位： | 浙江大学数学系,杭州,310027 |
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| 摘 要： | 本文证明了广义Lienard方程极限环的一个惟一性定理,并用它证明了具有 稀疏效应的捕食-食饵系统在其正奇点外围至多有一个极限环.
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| 关 键 词： | 广义Liénard方程 极限环 惟一性 |
| 文章编号： | 0583-1431(2004)06-1193-08 |
| 修稿时间： | 2003年3月21日 |
On the Uniqueness of Limit Cycle of the General Lienard Equation |
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| Ping Guang ZHANG Shen Qi ZHAO.On the Uniqueness of Limit Cycle of the General Lienard Equation[J].Acta Mathematica Sinica,2004,47(6):1193-120. |
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| Authors: | Ping Guang ZHANG Shen Qi ZHAO |
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| Institution: | Ping Guang ZHANG Shen Qi ZHAO (Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China) |
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| Abstract: | In this paper, a theorem on the uniqueness of limit cycle of the general Lienard equation is proved. Applying the theorem to the predator-prey model with undercrowding effect, it is proved that the predator-prey system has at most one limit cycle around the positive weak singular point. |
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| Keywords: | General Lienard equation Limit cycle Uniqueness |
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