Abstract:The Lie symmetries and conserved quantities of nonholonomic systems relative to non-inertial systems on time scale are studied. Based on Hamilton principle and Dubois reymond lemma, the differential equations of motion of the system are derived. Then, according to the invariance of infinitesimal transformation, the Lie symmetry determining equation and limiting equation of relative to non-inertial system on time scale are obtained, and the structural equation and the corresponding conserved quantity are further derived. Finally, the results are applied by examples.
彭 姣,朱建青. 时间尺度上非完整系统相对于非惯性系的Lie对称性[J]. 华中师范大学学报(自然科学版), 2020, 54(3): 368-372.
PENG Jiao,ZHU Jianqing. The Lie symmetry of relative to non-inertial systems for nonholonomic systems on time scales. journal1, 2020, 54(3): 368-372.