| 非Chetaev型非完整可控力学系统的Noether-形式不变性 |
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| 引用本文： | 夏丽莉,李元成,王静,后其宝.非Chetaev型非完整可控力学系统的Noether-形式不变性[J].物理学报,2006,55(10):4995-4998. |
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| 作者姓名： | 夏丽莉 李元成 王静 后其宝 |
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| 作者单位： | 中国石油大学(华东)物理科学与技术学院，东营 257061 |
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| 摘 要： | 基于函数对时间的全导数采用沿系统的运动轨线方式, 研究非Chetaev型非完整可控力学系统的Noether-形式不变性. 给出非Chetaev型非完整可控力学系统的Noether-形式不变性的定义和判据. 由Noether-形式不变性同时得到了Noether守恒量和新型守恒量. 并举例说明结果的应用.
关键词：
非Chetaev型非完整系统
可控力学系统
Noether-形式不变性
守恒量
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| 关 键 词： | 非Chetaev型非完整系统 可控力学系统 Noether-形式不变性 守恒量 |
| 收稿时间： | 02 18 2006 12:00AM |
| 修稿时间： | 2006-02-182006-03-10 |
Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev's type |
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| Xia Li-Li,Li Yuan-Cheng,Wang Jing,Hou Qi-Bao.Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev''''s type[J].Acta Physica Sinica,2006,55(10):4995-4998. |
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| Authors: | Xia Li-Li Li Yuan-Cheng Wang Jing Hou Qi-Bao |
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| Institution: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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| Abstract: | Based on the total time derivative along the trajectory of the system, the definition and the criterion of Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev's type are presented. A new conserved quantity, as well as the Noether conserved quantity are deduced from the Noether-form invariance. An example is given to illustrate the application of the result. |
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| Keywords: | nonholonomic mechanical system of non-Chetaev's type controllable mechanical system Noether-form invariance conserved quantity |
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