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包含伺服约束非完整系统的Noether-Mei对称性
王小明¹,李元成¹,张佩玲²,荆宏星¹
(1.中国石油大学物理科学与技术学院，山东东营257061;2.北京国电清新环保技术股份有限公司，北京100036)

摘要:

根据系统的运动微分方程,给出伺服约束非完整系统的新对称性的定义和判据,得到了系统的Noether-Mei对称性导出的Noether守恒量和Mei守恒量。举例说明结果的应用。

关键词: 伺服约束非完整系统 Noether-Mei对称性守恒量

DOI：10.3969/j.issn.1673-5005.2010.02.033

分类号:0 313

基金项目:

Noether-Mei symmetry of nonholonomic systems with servoconstraints

WANG Xiao-ming¹,LI Yuan-cheng¹,ZHANG Pei-ling²,JING Hong-xing¹

(1. Collage of Physics Science and Technology in China University of Petroleum, Dongying 257061，China;2. Beijing SPC Enviroment Protection Tech Co. , LTD, Beijing 100036, China)

Abstract:

The definition and the criterion of a Noether-Mei symmetry for the nonholonomic systems with servoconstraints, as well as the Noether conserved quantity and the Mai conserved quantity deduced from the Noether-Mei symmetry for the system were given. An example was given to illustrate the application of the results.

Key words: servoconstraints nonholonomic systems Noether-Mei symmetry conserved quantity