%A Fu Jing-Li (傅景礼), Chen Li-Qun (陈立群), Bai Jing-Hua (白景华), Yang Xiao-Dong (杨晓东) %T Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems %0 Journal Article %D 2003 %J Chin. Phys. B %R 10.1088/1009-1963/12/7/301 %P 695-699 %V 12 %N 7 %U {https://cpb.iphy.ac.cn/CN/abstract/article_107309.shtml} %8 2003-07-16 %X 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.