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物理学报  2009 

Mei symmetry and Mei conserved quantity of Nielsen equations for nonholonomic systems of unilateral non-Chetaev''s type in the event space
事件空间中单面非Chetaev型非完整系统Nielsen方程的Mei对称性与Mei守恒量

Keywords: event space,Nielsen equation,nonholonomic system of unilateral non-Chetaev's type,Mei conserved quantity
事件空间
,Nielsen方程,单面非Chetaev型非完整系统,Mei守恒量

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Abstract:

Mei symmetry and Mei conserved quantity of Nielsen equations for a nonholonomic system of unilateral non-Chetaev's type in the event space are studied. The differential equations of motion for the system are established. The definition and the criteria of Mei symmetry, loose Mei symmetry and strict Mei symmetry for the system are respectively given. The existence condition and the expression of Mei conserved quantity deduced directly from Mei symmetry are obtained. An example is given to illustrate the application of the results.

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