| 相对论性Chaplygin动力学系统的Birkhoff表示 |
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| 引用本文： | 傅景礼,罗绍凯.相对论性Chaplygin动力学系统的Birkhoff表示[J].商丘师范学院学报,2000,16(4):10-15. |
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| 作者姓名： | 傅景礼 罗绍凯 |
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| 作者单位： | 商丘师范学院物理系!河南商丘476000 |
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| 基金项目： | 国家自然科学基金资助课题 !(1 9972 0 1 0 )，河南省自然科学基金资助课题! (9840 531 0 0 ) |
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| 摘 要： | 定义相对论性Ｐｆａｆｆ作用量，得到相对论性Ｐｆａｆｆ－Ｂｉｒｋｈｏｆｆ原理和相对论性Ｂｉｒｋｈｏｆｆ方程。证明了一类特殊相对论性Ｃｈａｐｌｙｇｉｎ方程可以直接纳入相对论性Ｂｉｒｋｈｏｆｆ方程。
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| 关 键 词： | 相对论 Birkhoff动力学 Chaplygin动力学系统 |
Birkhoff's representation for relativistic Chaplygin dynamical systems |
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| FU Jing li,LUO Shao kai.Birkhoff's representation for relativistic Chaplygin dynamical systems[J].Journal of Shangqiu Teachers College,2000,16(4):10-15. |
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| Authors: | FU Jing li LUO Shao kai |
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| Abstract: | Defining Pfaff action of relativistic systems,the Pfaff-Birkhoff principle and the Birkhoff's equation for relativistic systems are obtain.We prove that special relativistic Chaplygin's equation can be represented directly as the forms of Birkhoff,and general relativistic Chaplygin's equations can be represented as the manifert forms,then which can be represented as forms Birkhoff.The results are all showed that the relativistic Chaplygin dynamical systems can be represented as forms Birkhoffian system. |
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| Keywords: | relativity Chaplygin system motion equation dynamics of Birkhoffian system |
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