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物理学报 2007
Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems
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Abstract:
The Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems are studied. The determining equations and the restriction equations of Lie symmetries of the system are obtained. The condition under which a conserved quantity exists is established and the form of the conserved quantity is given. An example is given to illustrate the application of the result.