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Symmetries and Mei Conserved Quantities for Nonholonomic Systems with Servoconstraints
Authors:XIA Li-Li WANG Xian-Jun ZHAO Xian-Lin
Affiliation:Department of Physics, Henan Institute of Education,;Zhengzhou 450014, China
Abstract:This paper concentrates on studying the symmetries and anew type of conserved quantities called Mei conserved quantities forNonholonomic Systems with Servoconstraints. The criterions of theMei symmetry, the Noether symmetry, and the Lie symmetry are given.The conditions and the forms of the Mei conserved quantities deducedfrom these three symmetries are obtained. An example is given toillustrate the application of the results.
Keywords:nonholonomic systems   servoconstraints   symmetry   conserved quantity
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