Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems
Fu Jing-Li (傅景礼)ab, Chen Li-Qun (陈立群)b, Bai Jing-Hua (白景华)c, Yang Xiao-Dong (杨晓东)b
a Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 476000, China; b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Department of Mathematics, Kaifeng University, Kaifeng 475000, China
Abstract This paper concentrates on studying the Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems. Based on the infinitesimal transformation, we establish the Lie symmetric determining equations and restrictive equations and give three definitions of Lie symmetries before the structure equations and conserved quantities of the Lie symmetries are obtained. Then we make a study of the inverse problems. Finally, an example is presented for illustrating the results.
Received: 06 September 2002
Revised: 12 March 2003
Accepted manuscript online:
Fu Jing-Li (傅景礼), Chen Li-Qun (陈立群), Bai Jing-Hua (白景华), Yang Xiao-Dong (杨晓东) Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems 2003 Chinese Physics 12 695
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