| 扰动的三次哈密顿系统的极限环分支及数值模拟 |
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| 引用本文： | 洪晓春.扰动的三次哈密顿系统的极限环分支及数值模拟[J].湖南师范大学自然科学学报,2008,31(3). |
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| 作者姓名： | 洪晓春 |
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| 作者单位： | 曲靖师范学院数学与信息科学学院,中国曲靖655000;曲靖师范学院应用数学研究所,中国曲靖655000 |
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| 基金项目： | 国家自然科学基金，云南省自然科学基金，云南省教育厅资助项目 |
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| 摘 要： | 利用定性分析和数值探测法研究了一类三次哈密顿系统在5次扰动下的极限环分支,使用判定函数得出了这个系统有15个极限环,并且使用数值模拟方法给出了这15个极限环的准确位置.
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| 关 键 词： | 哈密顿系统 极限环 判定函数 定性分析 数值探测 |
Bifurcation of Limit Cycles in a Cubic Hamiltonian System with Perturbed Terms and Numerical Simulation |
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| HONG Xiao-chun.Bifurcation of Limit Cycles in a Cubic Hamiltonian System with Perturbed Terms and Numerical Simulation[J].Journal of Natural Science of Hunan Normal University,2008,31(3). |
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| Authors: | HONG Xiao-chun |
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| Abstract: | Bifurcation of limit cycles in a cubic Hamiltonian system with quintic perturbed terms is investigated using both qualitative analysis and numerical exploration. The study reveals that there are at most 15 limit cycles in the system u-sing detection function approach. By using method of numerical simulation, the distributed orderliness of the 15 limit cycles is observed and their nicety places are determined. |
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| Keywords: | Hamihonian system limit cycle detection function qualitative analysis numerical exploration |
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