A unified symmetry of nonholonomic mechanical systems in phase space

作者：Wang Peng^*; Fang Jian-Hui; Ding Ning; Zhang Peng-Yu

来源：Chinese Physics, 2006, 15(7): 1403-1406.

• nonholonomic mechanical system
• unified symmetry
• conserved quantity
• phase space

In this paper, we have studied the unified symmetry of a nonholonomic mechanical system in phase space. The definition and the criterion of a unified symmetry of the nonholonomic mechanical system in phase space are given under general infinitesimal transformations of groups in which time is variable. The Noether conserved quantity, the generalized Hojman conserved quantity and the Mei conserved quantity are obtained from the unified symmetry. An example is given to illustrate the application of the results.

• 出版日期2006-7
• 单位中国石油大学（北京）