事件空间离散完整系统的Noether理论  

NOETHER THEOREM OF DISCRETE HOLONOMIC SYSTEMS IN EVENT SPACE

作　　者：张伟伟 方建会 张斌 

机构地区：[1]中国石油大学(华东)理学院,青岛266580

出　　处：《动力学与控制学报》2012年第2期117-120,共4页Journal of Dynamics and Control

基　　金：山东省自然科学基金资助项目(ZR2011AM012);中国石油大学(华东)研究生创新工程项目(CXYB11-12)~~

摘　　要：研究差分离散变分原理和事件空间中离散完整系统的Noether理论. 运用差分离散变分方法,通过群的无限小变换,得到了事件空间中离散完整系统的差分离散变分原理,并建立了离散的运动方程. 得到了系统的Noether对称性的判据方程和Noether守恒量的形式以及其存在的条件. 举例说明结果的应用.Difference discrete variation principle and Noether theorem of discrete holonomic systems in event space were studied. By the difference discrete variation approach,the difference discrete variation principle of discrete ho-lonomic systems in event space was derived. The discrete equations of motion of the system were established. The criterion of Noether symmetry of the system was given. The discrete Noether conserved quantity and the condition for its existence were obtained. Finally, an example was discussed to show the applications of the results.

关 键 词：差分离散变分原理 离散完整系统 事件空间 NOETHER对称性 

分 类 号：O316[理学—一般力学与力学基础]