中国物理B ›› 2006, Vol. 15 ›› Issue (7): 1403-1406.doi: 10.1088/1009-1963/15/7/002

• GENERAL • 上一篇    下一篇

A unified symmetry of nonholonomic mechanical systems in phase space

王鹏, 方建会, 丁宁, 张鹏玉   

  1. College of Physics and Technology, China University of Petroleum, Dongying 257061, China
  • 收稿日期:2006-01-20 修回日期:2006-02-20 出版日期:2006-07-20 发布日期:2006-07-20

A unified symmetry of nonholonomic mechanical systems in phase space

Wang Peng (王鹏), Fang Jian-Hui (方建会), Ding Ning (丁宁), Zhang Peng-Yu (张鹏玉)   

  1. College of Physics and Technology, China University of Petroleum, Dongying 257061, China
  • Received:2006-01-20 Revised:2006-02-20 Online:2006-07-20 Published:2006-07-20

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摘要： 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.

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.

Key words: nonholonomic mechanical system, unified symmetry, conserved quantity, phase space

中图分类号:  (General theory of classical mechanics of discrete systems)

  • 45.05.+x