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中国物理学会期刊
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非完整系统Tzénoff方程的Mei对称性和守恒量

物理学报, 2007, 56(2): 661-665.
DOI: 10.7498/aps.56.661
CSTR: 32037.14.aps.56.661

Mei symmetry and conserved quantity of Tzénoff equations for nonholonomic systems

Acta Phys. Sin., 2007, 56(2): 661-665.
DOI: 10.7498/aps.56.661
CSTR: 32037.14.aps.56.661
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  • 摘要

    研究了在群的无限小变换下非完整系统Tzénoff方程的Mei对称性，给出了非完整系统Tzénoff方程Mei对称性的定义和判据方程.给出了这种Mei对称性导致Lie对称性的充要条件，通过特殊Mei对称性条件下的Lie对称性，找到了非完整系统Tzénoff方程的Hojman守恒量.

     

    Abstract

    The Mei symmetry of Tzénoff equations for nonholonomic systems under the infinitesimal transformation of groups is studied in this paper. The definition and the criterion equations of the symmetry are given. If the symmetry is a Lie symmetry, then the Hojman conserved quantity of the Tzénoff equation can be obtained by the Mei symmetry.

     

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