| Bifurcations of Periodic Orbits for a Four-Dimensional System |
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| 引用本文： | 刘宣亮. Bifurcations of Periodic Orbits for a Four-Dimensional System[J]. 上海交通大学学报(英文版), 2004, 9(2): 82-86 |
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| 作者姓名： | 刘宣亮 |
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| 作者单位： | Dept.ofMathematics,ShanghaiJiaotongUniv.,Shanghai200240,China |
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| 基金项目： | National Natural Science Foundation ofChina( No.10 3 710 72 )，National Ministry of Education ( No.2 0 0 10 2 480 19and No.2 0 0 2 0 2 480 10 ) |
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| 摘 要： | Consider a four-dimensional system having a two-dimensional invariant surface. By analyzing the solutions of bifurcation equations, this paper studied the bifurcation phenomena of a k multiple closed orbit in the invariant surface. Sufficient conditions for the existence of periodic orbits generated by the k multiple closed orbit were given.
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| 关 键 词： | 四维系统 分叉 周期轨道 不变式表面 矩阵解 |
Bifurcations of Periodic Orbits for a Four-Dimensional System |
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| LIU Xuan-liang. Bifurcations of Periodic Orbits for a Four-Dimensional System[J]. Journal of Shanghai Jiaotong university, 2004, 9(2): 82-86 |
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| Authors: | LIU Xuan-liang |
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| Affiliation: | Dept.of Mathematics,Shanghai Jiaotong Univ.,Shanghai,200240,Chian |
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| Abstract: | Consider a four-dimensional system having a two-dimensional invariant surface. By analyzing the solutions of bifurcation equations, this paper studied the bifurcation phenomena of a k multiple closed orbit in the invariant surface. Sufficient conditions for the existence of periodic orbits generated by the k multiple closed orbit were given. |
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| Keywords: | bifurcation periodic orbit four-dimensional system |
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