赵淑琼, 朱建青. 时间尺度上二阶Lagrange系统Mei 对称性及守恒量[J]. 云南大学学报(自然科学版), 2022, 44(1): 73-79. doi: 10.7540/j.ynu.20200436
引用本文: 赵淑琼, 朱建青. 时间尺度上二阶Lagrange系统Mei 对称性及守恒量[J]. 云南大学学报(自然科学版), 2022, 44(1): 73-79. doi: 10.7540/j.ynu.20200436
ZHAO Shu-qiong, ZHU Jian-qing. On Mei symmetry and conserved quantity of second-order Lagrange systems on time scales[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(1): 73-79. DOI: 10.7540/j.ynu.20200436
Citation: ZHAO Shu-qiong, ZHU Jian-qing. On Mei symmetry and conserved quantity of second-order Lagrange systems on time scales[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(1): 73-79. DOI: 10.7540/j.ynu.20200436

时间尺度上二阶Lagrange系统Mei 对称性及守恒量

On Mei symmetry and conserved quantity of second-order Lagrange systems on time scales

  • 摘要: 研究时间尺度上二阶Lagrange系统的Mei对称性及守恒量. 以时间尺度上二阶Lagrange系统的运动方程为基础,给出系统中的Lagrange方程在无限小变换下的Mei对称性及判定方程,并建立Mei对称性导致守恒量条件,最后举例说明结果的应用.

     

    Abstract: The Mei symmetry and conserved quantity of the second-order Lagrange system on time scales have been studied. Based on the motion equation of the second-order Lagrange system on time scales, the Mei symmetry of the second-order Lagrange system under infinitely small transformation has been explored. The definition of Mei symmetry and the decision equation of the second-order Lagrange system on time scales are obtained. And the conditions for the conserved quantity caused by Mei symmetry is established. An example is given to illustrate the application of the theorem.

     

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