Abstract：The Lie symmetry and conserved quantity of variable mass nonholonomic systems in terms of delta derivative is discussed on time scales. First， based on D’Alembert-Lagrange principle， the differential equation of nonholonomic system with variable mass on time scale is derived.Then by using the invariance of the infinitesimal transformation for variable mass nonholonomic system on time scales， the determining equation of Lie symmetry is established， and the structure equation and conservation quantity of the system are given. Finally， an example is given to illustrate its application.
阙朝月,朱建青. 时间尺度上变质量非完整系统的Lie对称性与守恒量[J]. 华中师范大学学报(自然科学版), 2020, 54(2): 207-212.
QUE Chaoyue,ZHU Jianqing. Lie symmetries and conserved quantities of nonholonomic systems with variable mass on time scales. journal1, 2020, 54(2): 207-212.
2020, Vol. 54 
