| 相空间中二阶非完整力学系统的Lie对称性与守恒量 |
| |
| 引用本文： | 陈培胜,方建会.相空间中二阶非完整力学系统的Lie对称性与守恒量[J].商丘师范学院学报,2004,20(5):14-17. |
| |
| 作者姓名： | 陈培胜 方建会 |
| |
| 作者单位： | 石油大学,应用物理系,山东,东营,257061 |
| |
| 摘 要： | 研究相空间中二阶非完整力学系统的Lie对称与守恒量．首先利用系统运动微分方程在无限小变换下的不变性建立Lie对称的确定方程和限制方程，得到Lie对称的结构方程和守恒量；其次研究上述问题的逆问题；最后举例说明结果的应用．
|
| 关 键 词： | 相空间 二阶非完整力学系统 Lie对称性 守恒量 |
| 文章编号： | 1672-3600(2004)05-0014-04 |
| 修稿时间： | 2004年1月6日 |
Lie symmetries and conserved quantities of second-order nonholomic mechanical system in phase place |
| |
| CHEN Pei-sheng,FANG Jian-hui.Lie symmetries and conserved quantities of second-order nonholomic mechanical system in phase place[J].Journal of Shangqiu Teachers College,2004,20(5):14-17. |
| |
| Authors: | CHEN Pei-sheng FANG Jian-hui |
| |
| Abstract: | In this article,the Lie symmetries and Conserved Quantities of Second-Order Nonholomic Mechanical System in Phase Place are studied.Firstly,by using the invariance of the differential equation of motion under the infinitesimal transformations,the determining equation and the restriction equations of the Lie symmetries of the system are established,and the structure equation and the conservative quantities of the Lie symmetries are obtained.Secondly,the inverse problems of the Lie symmetries are studied.Finally,an example is given to illustrate the application of the result. |
| |
| Keywords: | phase space second-order nonholomic mechanical system Lie symmetries conserved quantities |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
