完整系统Tzénoff方程的Mei对称性对应的新守恒量  

A new conserved quantity induced directly from Mei symmetry of Tzénoff equations for holonomic systems

作　　者：郑世旺[1] 王建波[1] 

机构地区：[1]商丘师范学院物理与信息工程系,河南商丘476000

出　　处：《纺织高校基础科学学报》2011年第1期122-125,共4页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10972127)

摘　　要：研究了完整力学系统Tzénoff方程Mei对称性所对应的一种新守恒量.给出了这种守恒量的函数表达式并导出了产生这种守恒量的判据方程.利用该方法比以往更易找到守恒量,最后举例说明了新结果的应用.A new conserved quantity deduced from Mei symmetry of Tzénoff equations for holonomic systems is studied.The expression of this conserved quantity and the determining equation to induce this conserved quantity are presented.The results indicate that this new method is easier to find conserved quantities than previously reported method.Finally,application of this new result is presented by a practical example.

关 键 词：完整力学系统 TZÉNOFF方程 MEI对称性 新守恒量 

分 类 号：O320[理学—一般力学与力学基础]