A New type of conserved quantity deduced from Mei symmetry of nonholonomic systems in terms of quasi-coordinates

作者：Pang Ting; Fang Jian Hui^*; Zhang Ming Jiang; Lin Peng; Lu Kai

来源：Chinese Physics B, 2009, 18(8): 3150-3154.

DOI：10.1088/1674-1056/18/8/009

• Mei symmetry
• conserved quantity
• quasi-coordinate
• nonholonomic system

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.

• 出版日期2009-8
• 单位中国石油大学（北京）