| 平面近Hamilton系统的Melnikov函数与Hopf分支 |
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| 引用本文： | 侯衍芬[],韩茂安[].平面近Hamilton系统的Melnikov函数与Hopf分支[J].上海师范大学学报(自然科学版),2006,35(1):1-10. |
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| 作者姓名： | 侯衍芬[] 韩茂安[] |
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| 作者单位： | 1. 上海交通大学,数学系,上海,200030
2. 上海师范大学,数理信息学院,上海,200234 |
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| 基金项目： | 上海市重点学科建设项目 |
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| 摘 要： | 考虑一般平面近Hamilton系统和平面三次近Hamilton系统的Melnikov函数M（h），分别给出其M（h）表达式，并将所得结论应用于某些平面近Hamilton系统，分析其Hopf分支．
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| 关 键 词： | 平面近Hamilton系统 Melnikov函数 Hopf分支 |
| 文章编号： | 1000-5137（2006）01-0001-10 |
| 收稿时间： | 12 6 2005 12:00AM |
| 修稿时间： | 2005-12-06 |
Melnikov functions of planar near-Hamiltonian systems and their Hopf bifurcations |
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| HOU Yan-fen,HAN Mao-an.Melnikov functions of planar near-Hamiltonian systems and their Hopf bifurcations[J].Journal of Shanghai Normal University(Natural Sciences),2006,35(1):1-10. |
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| Authors: | HOU Yan-fen HAN Mao-an |
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| Institution: | 1. Department of Mathematics, Shanghai Jaotong University, Shanghai 200030, China; 2.Mathmatics and Sciences College, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | We consider the Melnikov functions of a general planar near-Hamiltonian system and a planar cubic near-Hamiltonian system,and give expressions of the functions M(h) respectively. We apply our main results to some planar near-Hamiltonian systems and analyze their Hopf bifurcations. |
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| Keywords: | planar approximate Hamiltonian system Melnikov function Hopf bifurcation |
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