完整系统Tznoff方程的三种对称性及其直接导致的守恒量  

Three symmetries and their conserved quantities of Tzénoff equations for holonomic systems

作　　者：郑世旺[1] 曹连江[1] 张宁[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：《商丘师范学院学报》2007年第12期53-57,共5页Journal of Shangqiu Normal University

基　　金：国家自然科学基金资助项目(10672143和10372053)

摘　　要：研究了完整力学系统Tznoff方程的三种对称性及其直接导致的守恒量,给出了导致这些守恒量的判据方程和守恒量的函数表达式。Three conserved quantities are deduced from symmetries of Tzénoff equations for holonomic systems. The determining equations to induce these conserved quantities are given, and the expressions of them are presented. Finally, applications of the research result are illustrated by practical examples.

关 键 词：完整力学系统 TZÉNOFF方程 对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]