Abstract：In this paper， Lie symmetry and conserved quantity for non-conservative systems on time scales are studied. Firstly， based on the invariance of the differential equations on time scales under the infinitesimal transformations of groups， the determining equations of Lie symmetry on time scales are provided. Secondly， the structure equations of Lie symmetry for non-conservative systems on time scales are established， and formulation of the Noether conserved quantity is constructed. Finally， an example is presented to illustrate the application of the results.
林 魏,朱建青. 时间尺度上非保守系统的Lie对称性及其守恒量[J]. 华中师范大学学报(自然科学版), 2017, 51(6): 772-776.
LIN Wei,ZHU Jianqing. Lie symmetry and conserved quantity for non-conservative systems on time scales. journal1, 2017, 51(6): 772-776.
2017, Vol. 51 
