| The Global Bifurcation of a Cubic System |
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| 作者姓名： | De-sheng Shang Mao-an Han Jin-ping Sun |
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| 作者单位： | [1]School of Mathematics and Information Science, Shandong University of Technology, Zibo 255049, China [2]School of Mathematical Sciences, Shanghai Normal University, Shanghai 200234, China |
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| 基金项目： | Supported by the National Ministry of Education （No.20020248010）, the National Natural Science Foundation of China （No.10371072） and the Shanghai Leading Academic Discipline Project （No.T0401）. |
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| 摘 要： | In this paper,we study the perturbation of certain of cubic system.By using the method of multi-parameter perturbation theory and qualitative analysis,we infer that the system under consideration can havefive limit cycles.
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| 关 键 词： | 扰动 分叉 立方系统 极限循环 环论 |
| 收稿时间： | 2005-03-08 |
| 修稿时间： | 2005-03-08 |
The Global Bifurcation of a Cubic System |
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| De-sheng Shang Mao-an Han Jin-ping Sun.The Global Bifurcation of a Cubic System[J].Acta Mathematicae Applicatae Sinica,2006,22(2):325-332. |
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| Authors: | De-sheng Shang Mao-an Han Jin-ping Sun |
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| Institution: | (1) School of Mathematics and Information Science, Shandong University of Technology, Zibo 255049, China;(2) School of Mathematical Sciences, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | In this paper, we study the perturbation of certain of cubic system. By using the method of multi-parameter perturbation theory and qualitative analysis, we infer that the system under consideration can have five limit cycles. |
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| Keywords: | Perturbation bifurcation cubic system limit cycle Homoclinic loop |
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