Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (2): 204-209 .

• 论文 • 上一篇    下一篇

FORM INVARIANCE AND LIE SYMMETRY OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEM

方建会, 陈培胜, 张军   

  • 收稿日期:2003-03-10 修回日期:2004-09-24 出版日期:2005-02-18 发布日期:2005-02-18
  • 通讯作者: 方建会

FORM INVARIANCE AND LIE SYMMETRY OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEM

FANG Jian-hui, CHEN Pei-sheng, ZHANG Jun   

  1. Department of Applied Physics, University of Petroleum, Dongying, Shandong 257061, P.R.China
  • Received:2003-03-10 Revised:2004-09-24 Online:2005-02-18 Published:2005-02-18
  • Contact: FANG Jian-hui

Abstract: The form invariance and Lie symmetry of a variable mass nonholonomic mechanical system is studied. The definition and the criterion and the conserved quantity of form invariance and Lie symmetry for the variable mass nonholonomic mechanical system are given. The relation between the form invariance and Lie symmetry is obtained. An example is given to illustrate the application of the result.

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