Abstract:The Lie symmetry and conserved quantities of singular nonholonomic systems of Chetaev's type on time scales were studied. Firstly, the motion differential equations were established. Secondly, based on the invariance of differential equations under infinitesimal transformation on time scales, we gave the determining equation and the limiting equation of Lie symmetry for singular nonholonomic systems of Chetaev's type on time scales. Finally, a structural equation was established, and the conservation of Lie symmetry was given. At the end of the paper, an example was given to illustrate the application of the theorem.
陈志炜,朱建青. 时间尺度上奇异Chetaev型非完整力学系统的Lie对称性[J]. 华中师范大学学报(自然科学版), 2019, 53(3): 335-338.
CHEN Zhiwei,ZHU Jianqing. Lie symmetry and conserved quantity for singular nonholonomic systems of Chetaev's type on time scales. journal1, 2019, 53(3): 335-338.