高阶非完整系统广义Tzénoff方程的Mei对称性导出的新守恒量  

Mei symmetry and new conserved quantities of generalized Tzénoff equations for higher-order nonholonomic system

作　　者：郑世旺[1] 王建波[1] 

机构地区：[1]商丘师范学院物理与电气信息学院,河南商丘476000

出　　处：《商丘师范学院学报》2013年第9期35-40,共6页Journal of Shangqiu Normal University

基　　金：国家自然科学基金资助项目(No.10972127)

摘　　要：研究了高阶非完整系统广义Tzénoff方程的Mei对称性及其所导出的新守恒量,给出了这种新守恒量的函数表达式和导出这种守恒量的判据方程.该研究结果具有一般性,为探究任意阶非完整系统广义Tzénoff方程的守恒规律奠定了理论基础.The Mei symmetry of generalized Tzénoff equations of the higher -order nonholonomic system and new conserved quantities derived from that are studied in this paper .The function expression and criterion equation of these new conserved quantities are given .This result is general and establishes the theory basis for researching the conversed laws of generalized Tz énoff equations of any order nonholonomic system .

关 键 词：高阶非完整系统 广义Tzénoff方程 MEI对称 新守恒量 

分 类 号：O320[理学—一般力学与力学基础]