| 一类n+1次系统的极限环 |
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| 引用本文： | 匡奕群,邱梅青.一类n+1次系统的极限环[J].南方冶金学院学报,2004,25(2):68-70. |
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| 作者姓名： | 匡奕群 邱梅青 |
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| 作者单位： | 南方冶金学院理学院 江西赣州341000
(匡奕群)，南方冶金学院理学院 江西赣州341000(邱梅青) |
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| 摘 要： | 讨论了一类n+1次系统,利用微分方程定性理论,证明了解的正向有界性、正平衡点的全局稳定性,并获得了存在唯一的极限环的充分条件.
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| 关 键 词： | 平衡点 全局稳定性 极限环. |
| 文章编号： | 1007-1229(2004)02-0068-03 |
| 修稿时间： | 2003年6月30日 |
The Limit Cycle for a Class of System with n+1 Degree |
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| KUANG Yi-qun,QIU Mei-qing.The Limit Cycle for a Class of System with n+1 Degree[J].Journal of Southern Institute of Metallurgy,2004,25(2):68-70. |
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| Authors: | KUANG Yi-qun QIU Mei-qing |
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| Abstract: | In this paper a class of system with n+1degreedx dt=x(a 0+a1x-a 2x2-a3yn)+hdy dt=y(b1x2-b2)by using qualitative theory of ordinary differential equations is studied.we have proved the boundedness of positive solutions and the positive equilibrium point is globally stable,and obtained the sufficient conditions for existence,uniqueness of limit cycle for such a system. |
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| Keywords: | equilibrium points global stability limit cycle |
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