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EFFECTS OF NONHOLONOMIC CONSTRAINT ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF LAGRANGIAN SYSTEMS
Authors:Zhang Rui-chao  Chen Xiang-wei and Mei Feng-xiang
Institution:Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China
Abstract:After a Lagrangian system is constrained by nonholonomic constraints, the determining equations, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some symmetries vanish and under certain conditions some Lie symmetries still remain.
Keywords:lagrangian system  nonholonomic constraint  lie symmetry  conserved quantity  
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