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物理学报 2002
Lie symmetries and conserved quantities of a type of nonholonomic singular systems
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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.