Abstract This paper studies the new type of conserved quantity which is directly induced by Mei symmetry of nonholonomic systems in terms of quasi-coordinates. A coordination function is introduced, and the conditions for the existence of the new conserved quantities as well as their forms are proposed. Some special cases are given to illustrate the generalized significance of the new type conserved quantity. Finally, an illustrated example is given to show the application of the nonholonomic system's results.
Received: 28 July 2008
Revised: 09 January 2009
Accepted manuscript online:
Pang Ting(庞婷), Fang Jian-Hui(方建会), Zhang Ming-Jiang(张明江), Lin Peng(蔺鹏), and Lu Kai(路凯) A New type of conserved quantity deduced from Mei symmetry of nonholonomic systems in terms of quasi-coordinates 2009 Chin. Phys. B 18 3150
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