| 可控非完整系统的Noether对称性和守恒量 |
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| 引用本文： | 于峰峰,赵维加,傅景礼.可控非完整系统的Noether对称性和守恒量[J].青岛大学学报(自然科学版),2006,19(1):14-20. |
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| 作者姓名： | 于峰峰 赵维加 傅景礼 |
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| 作者单位： | 青岛大学理工学院数学系,山东,青岛,266071 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 为了研究可控非完整系统的Noether对称性和守恒量,根据Hamilton作用量在时间和广义坐标的无限小变换下的不变性,给出了系统的广义Noether定理及其逆定理,得到了相应可控完整系统的Noether对称性与可控非完整系统的Noether对称性的关系,并给出了在实际中的应用。
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| 关 键 词： | 可控非完整系统 Noether对称性 守恒量 |
| 文章编号： | 1006-1037（2006）01-0014-07 |
| 收稿时间： | 2006-01-07 |
| 修稿时间： | 2006-02-20 |
Noether Symmetries and Conserved Quantities of Controllable Nonholonomic Dynamical Systems |
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| YU Feng-feng,ZHAO Wei-jia,FU Jing-li.Noether Symmetries and Conserved Quantities of Controllable Nonholonomic Dynamical Systems[J].Journal of Qingdao University(Natural Science Edition),2006,19(1):14-20. |
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| Authors: | YU Feng-feng ZHAO Wei-jia FU Jing-li |
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| Institution: | Department of Mathematics, College of Science, Qingdao University, Qingdao 266071, China |
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| Abstract: | This paper is to study the Noether symmetries and conserved quantities of controllable nonholonomic systems.Based on the infinitesimal transformations with respect to coordinates and time as well as the variation of Hamilton action,we first present the generalized Noether theory and inverse problem,and then find the relationship between the Noether symmetries of the controllable nonholonomic systems and the controllable holonomic systems.Finally we give the application in practice. |
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| Keywords: | controllable nonholonomic system noether symmetry conserved quantity |
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