Chetaev型非完整系统Nielsen方程Lie对称性导致的一种守恒量  

A TYPE OF CONSERVED QUANTITY OF LIE SYMMETRY FOR NONHOLONOMIC SYSTEM OF NIELSEN EQUATION OF CHETAEV'S TYPE

作　　者：徐瑞莉 方建会 张斌 王菲菲 

机构地区：[1]中国石油大学理学院,青岛266580

出　　处：《动力学与控制学报》2014年第1期13-17,共5页Journal of Dynamics and Control

基　　金：山东省自然科学基金(ZR2011AM012);中国石油大学(华东)研究生自主创新科研计划项目(13CX06005A)~~

摘　　要：研究Chetaev型非完整系统Nielsen方程Lie对称性导致的一种守恒量,给出无限小群变换下Chetaev型非完整系统Nielsen方程Lie对称性的确定方程,得到Chetaev型非完整系统Nielsen方程Lie对称性直接导致的一种守恒量及其存在条件,并举例说明结果应用.This paper studied a type of conserved quantity deduced by the Lie symmetry for nonholonomic system with Chetaev-type of the Nielsen equation. Firstly, the determining equations of the Lie symmetry for nonholonomic system with Chetaev-type of the Nielsen equation were given under the infinitesimal transformation of groups. Secondly, the conditions of the existence of the type of conserved quantity of the system as well as its forms were obtained. And finally, an example was given to illustrate the application of the results.

关 键 词：非完整系统 NIELSEN方程 LIE对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]