| LIMIT CYCLES OF A QUADRATIC HAMILTONIAN SYSTEM BY CUBIC PERTURBATIONS |
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| 作者姓名： | Zhao Yong Han Maoan Yang Junmin |
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| 作者单位： | Institute of Math.，Shanghai Normal University，Shanghai 200234 |
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| 基金项目： | the National Natural Science Foundation of China under Grant (No.10671127)，by Shanghai Shuguang Genzong Project(04SGG05) |
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| 摘 要： | In this paper,we are concerned with a cubic near-Hamiltonian system,whose unperturbed system is quadratic and has a symmetric homoclinic loop.By using the method developed in 12],we find that the system can have 4 limit cycles with 3 of them being near the homoclinic loop.Further,we give a condition under which there exist 4 limit cycles.
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| 关 键 词： | 界限循环 哈密尔敦函数 三次方程 数学 |
LIMIT CYCLES OF A QUADRATIC HAMILTONIAN SYSTEM BY CUBIC PERTURBATIONS |
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| Zhao Yong Han Maoan Yang Junmin.LIMIT CYCLES OF A QUADRATIC HAMILTONIAN SYSTEM BY CUBIC PERTURBATIONS[J].微分方程年刊(英文版),2007,23(4):593-602. |
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| Authors: | Zhao Yong Han Maoan Yang Junmin |
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| Institution: | Institute of Math., Shanghai Normal University, Shanghai 200234 |
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| Abstract: | In this paper,we are concerned with a cubic near-Hamiltonian system,whose unperturbed system is quadratic and has a symmetric homoclinic loop.By using the method developed in 12],we find that the system can have 4 limit cycles with 3 of them being near the homoclinic loop.Further,we give a condition under which there exist 4 limit cycles. |
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| Keywords: | limit cycles homoclinic loop near-Hamiltonian systems cubic perturbations Melnikov method |
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