非Chetaev型非完整可控力学系统的Noether-形式不变性  

Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev's type

作　　者：夏丽莉[1] 李元成[1] 王静[1] 后其宝[1] 

机构地区：[1]中国石油大学(华东)物理科学与技术学院,东营257061

出　　处：《物理学报》2006年第10期4995-4998,共4页Acta Physica Sinica

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.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.

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 

分 类 号：O411[理学—理论物理]