| 一个非线性扰动系统极限环的存在惟一性 |
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| 引用本文： | 宋贽,李海春,陶桂洪,汪金燕.一个非线性扰动系统极限环的存在惟一性[J].松辽学刊,2008,29(4):100-101. |
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| 作者姓名： | 宋贽 李海春 陶桂洪 汪金燕 |
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| 作者单位： | 沈阳农业大学理学院，北方民族大学信息与计算科学学院 |
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| 基金项目： | 辽宁省博士科研启动基金
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| 摘 要： | 本文应用动力系统分支理论的方法，讨论SIRS模型中提出的一个自治扰动系统，从而在双参数空间给出了同宿分支产生极限环的参数条件，并进一步确定了极限环的惟一性．
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| 关 键 词： | Melnikov 同宿分支 极限环 |
Existence and Uniqueness of Limit Cycles for a Nonlinear Perturbed System |
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| SONG Zhi,LI Hai- chun,TAO Gui- hong,WANG Jin-yan.Existence and Uniqueness of Limit Cycles for a Nonlinear Perturbed System[J].Songliao Journal (Natural Science Edition),2008,29(4):100-101. |
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| Authors: | SONG Zhi LI Hai- chun TAO Gui- hong WANG Jin-yan |
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| Institution: | SONG Zhi, LI Hai-chun, TAO Gui-hong, WANG Jin-yan (1. College of Science, Shenyang Agricultural University, Shenyang 110161, China; 2. Information and Computer,The North University for Ethnics, Ningxia 750021, China) |
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| Abstract: | This article applies the method of bifurcation theory of dynamical system,it discusses a autonomous perturbed system of a SIRS model,thereby,the condition of the limit-cycle appearing in the homoclinic loop bifurcation is given in a two-parameter space and the uniqueness of limit-cycle is proved. |
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| Keywords: | Melnikov |
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