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物理学报  2002 

Lie symmetries and conserved quantities of a type of nonholonomic singular systems
一类非完整奇异系统的Lie对称性与守恒量

Keywords: singular system,nonholonomic constraint,Lie symmetry,conserved quantity
奇异系统
,非完整约束,Lie对称性,守恒量

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Abstract:

Using an invariance of differential equations under the infinitesimal transformations of group, we study the Lie symmetries and conserved quantities of a type of nonholonomic singular systems. We establish the determining equations, the restriction equations, the additional restriction equations and the structure equations, and give the form of conserved quantities.

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