中国物理B ›› 2004, Vol. 13 ›› Issue (3): 287-291.doi: 10.1088/1009-1963/13/3/004
傅景礼1, 陈立群2, 杨晓东2
Fu Jing-Li (傅景礼)ab, Chen Li-Qun (陈立群)b, Yang Xiao-Dong (杨晓东)b
摘要: In this paper, we have extended the theorem of the velocity-dependent symmetries to nonholonomic dynamical systems. Based on the infinitesimal transformations with respect to the coordinates, we establish the determining equations and restrictive equation of the velocity-dependent system before the structure equation is obtained. The direct and the inverse issues of the velocity-dependent symmetries for the nonholonomic dynamical system is studied and the non-Noether type conserved quantity is found as the result. Finally, we give an example to illustrate the conclusion.
中图分类号: (Inverse problems)