| 完整系统Raitzin正则方程的Hojman守恒定理 |
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| 引用本文： | 乔永芬,孙丹娜,赵淑红.完整系统Raitzin正则方程的Hojman守恒定理[J].江西师范大学学报(自然科学版),2005,29(2):95-98. |
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| 作者姓名： | 乔永芬 孙丹娜 赵淑红 |
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| 作者单位： | 莱阳农学院基础部,莱阳市,265204;东北农业大学工程学院,哈尔滨,150030;莱阳农学院基础部,莱阳市,265204;东北农业大学工程学院,哈尔滨,150030 |
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| 基金项目： | 黑龙江省自然科学基金资助项目(批准号9507) |
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| 摘 要： | 利用时间不变的无限小变换下的Lie对称性，研究完整系统Raitzin正则方程的Hojman守恒定理、列出系统的运动微分方程．建立时间不变的无限小变换下的确定方程、给出系统的Hojman守恒定理，并举例说明结果的应用.
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| 关 键 词： | 完整系统 Raitzin正则方程 Lie对称性 确定方程 Hojman守恒定理 |
| 文章编号： | 1000-5862(2005)02-0095-04 |
Hojman's Conservation Theorems for Raitzin's Canonical Equations of Holonomic Systems |
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| Qiao Yong-Fen,SUN Dan-na,Zhao Shu-Hong.Hojman's Conservation Theorems for Raitzin's Canonical Equations of Holonomic Systems[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2005,29(2):95-98. |
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| Authors: | Qiao Yong-Fen SUN Dan-na Zhao Shu-Hong |
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| Institution: | QIAO Yong-fen~ |
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| Abstract: | Using the Lie symmetry under infinitesimal transformations in which the time is not variable, the Hojman's conservation theorems for Raitzin's canonical equations of holonomic systems have been studied. The differential equations of the systems and the determining equations of Lie symmetry under infinitesimal transformations have been given. The Hojman's conservation theorems of the systems are established. Finally,an example to illustrate the application of the result has been given. |
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| Keywords: | holonomic system Raitzin's canonical equation Lie symmetry determining equation Hojman's conservation theorem |
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