Weak Noether symmetry and conserved laws of Birkhoffian systems  

作　　者：解加芳 吴润衡 张竺 邹杰涛 李国富 

机构地区：[1]College of Science,North China University of Technology

出　　处：《Journal of Beijing Institute of Technology》2012年第1期8-12,共5页北京理工大学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (11026090,10772025,10932002,11102001)

摘　　要：A new kind of weak Noether symmetry is obtained that arises in the study of Birkhoffian systems. The conserved quantities, which includes Noether conserved quantity, Hojman type conserved quantity and new type conserved quantity, are also calculated from this symmetry. Finally, two examples are presented to illustrated the application of these new results.A new kind of weak Noether symmetry is obtained that arises in the study of Birkhoffian systems. The conserved quantities, which includes Noether conserved quantity, Hojman type conserved quantity and new type conserved quantity, are also calculated from this symmetry. Finally, two examples are presented to illustrated the application of these new results.

关 键 词：Birkhoffian system weak Noether symmetry conserved laws 

分 类 号：O316[理学—一般力学与力学基础]