杨新芳, 贾利群, 张耀宇, 崔金超, 解银丽. 准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量[J]. 云南大学学报(自然科学版), 2010, 32(3): 304-307 .
引用本文: 杨新芳, 贾利群, 张耀宇, 崔金超, 解银丽. 准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量[J]. 云南大学学报(自然科学版), 2010, 32(3): 304-307 .
Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates[J]. Journal of Yunnan University: Natural Sciences Edition, 2010, 32(3): 304-307 .
Citation: Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates[J]. Journal of Yunnan University: Natural Sciences Edition, 2010, 32(3): 304-307 .

准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量

Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates

  • 摘要: 研究准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量.给出一般完整系统Nielsen方程的Mei对称性的定义和判据,讨论一般完整系统Nielsen方程Mei对称性直接导致的Mei守恒量的条件及Mei守恒量的形式,并举例说明结果的应用.

     

    Abstract: Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates was discussed.The definition and the criterion of Mei symmetry of a Nielsen equation for a holonomic mechanical system in terms of quasi-coordinates are given,and the condition and the form of the Mei conserved quantity deduced directly from the Mei symmetry of the Nielsen equation for a holonomic mechanical system are discussed.Finally,an example is given to illustratethe application of the results.

     

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