| 一类平面Hamilton系统的同宿轨与周期轨的连续依赖性 |
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| 引用本文： | 何志蓉.一类平面Hamilton系统的同宿轨与周期轨的连续依赖性[J].四川大学学报(自然科学版),2004,41(2):274-278. |
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| 作者姓名： | 何志蓉 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 摘 要： | 讨论了一类平面Hamilton系统的自治扰动．证明了在一定的条件下该系统的同宿轨与周期轨的存在性，进而证明了它们对小扰动函数的连续依赖性．
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| 关 键 词： | Hamilton系统 连续依赖性 同宿轨 周期轨 |
Continuous Dependence of Homoclinic Orbits and Periodic Orbits of a Class of Planar Hamiltonian Systems |
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| Abstract.Continuous Dependence of Homoclinic Orbits and Periodic Orbits of a Class of Planar Hamiltonian Systems[J].Journal of Sichuan University (Natural Science Edition),2004,41(2):274-278. |
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| Authors: | Abstract |
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| Abstract: | The author discusses an autonomous perturbation of a class of planar Hamiltonian systems, proves that under appropriate conditions the existence and the continuous dependence on its homoclinic orbits and periodic orbits depend on the perturbing small function. |
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| Keywords: | Hamiltonian system continuous dependence homoclinic orbit periodic solution |
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