| 时问可逆系统的等时中心条件 |
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| 引用本文： | 桑波,伊继金,朱思铭. 时问可逆系统的等时中心条件[J]. 曲阜师范大学学报, 2010, 36(2): 7-9 |
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| 作者姓名： | 桑波 伊继金 朱思铭 |
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| 作者单位： | 桑波,伊继金(聊城大学数学科学学院,252059,山东省聊城市);朱思铭(中山大学数学与计算科学学院,510275,广东省,广州市) |
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| 摘 要： | 当中心邻域的闭轨周期为常数时,该中心称为等时中心. 解决等时中心问题的主要难点在于横截交换系统的计算. 为了减少计算量, 对于时间可逆的解析微分系统,给出了系统具有等时中心的两个充要条件,为建立等时中心条件推导的直接方法作理论上的准备.
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| 关 键 词： | 时间可逆系统 等时中心 等时性 |
Isochronicity Conditions for Time-Reversible Systems |
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| SHAN+Bo%e%%a,YI+Ji-jin%e%%a,ZHU+Si-ming%e%%a. Isochronicity Conditions for Time-Reversible Systems[J]. Journal of Qufu Normal University(Natural Science), 2010, 36(2): 7-9 |
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| Authors: | SHAN+Bo%e%%a YI+Ji-jin%e%%a ZHU+Si-ming%e%%a |
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| Affiliation: | SHAN+Bo%e2%91%a0,YI+Ji-jin%e2%91%a0,ZHU+Si-ming%e2%91%a1(%e2%91%a0Department+of+Mathematics,Liaocheng+University,252059,Liaocheng,Sh,ong,%e2%91%a1Department+of+Mathematics,Sun+Yat-sen+University,510275,Guangzhou,Guangdong,PRC) |
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| Abstract: | A center is called an isochronous center if those periodic orbits in some neighbourhood have the same period.The main difficulty in proving isochronicity is to find corresponding transversal commuting system.To reduce the computations,this paper gives two necessary and sufficient conditions for isochronicity of time-reversible systems.These two conditions are theoretically helpful for constructing isochronicity in a direct way. |
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| Keywords: | time-reversible system isochronous center isochronicity |
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