Abstract 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.
Received: 20 January 2006
Revised: 20 February 2006
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Cite this article:
Wang Peng (王鹏), Fang Jian-Hui (方建会), Ding Ning (丁宁), Zhang Peng-Yu (张鹏玉) A unified symmetry of nonholonomic mechanical systems in phase space 2006 Chinese Physics 15 1403
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