Form invariance and Lie symmetry of equations of non-holonomic systems

doi:10.1088/1009-1963/11/1/302

中国物理B ›› 2002, Vol. 11 ›› Issue (1): 5-8.doi: 10.1088/1009-1963/11/1/302

Form invariance and Lie symmetry of equations of non-holonomic systems

王树勇, 梅凤翔

Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2001-07-02 修回日期:2001-08-29 出版日期:2005-06-12 发布日期:2005-06-12
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 19972010).

Form invariance and Lie symmetry of equations of non-holonomic systems

Wang Shu-Yong (王树勇), Mei Feng-Xiang (梅凤翔)

Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China

Received:2001-07-02 Revised:2001-08-29 Online:2005-06-12 Published:2005-06-12
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 19972010).

摘要/Abstract

摘要： In this paper, we study the relation between the form invariance and Lie symmetry of non-holonomic systems. Firstly, we give the definitions and criteria of the form invariance and Lie symmetry in the systems. Next, their relation is deduced. We show that the structure equation and conserved quantity of the form invariance and Lie symmetry of non-holonomic systems have the same form. Finally, we give an example to illustrate the application of the result.

Abstract: In this paper, we study the relation between the form invariance and Lie symmetry of non-holonomic systems. Firstly, we give the definitions and criteria of the form invariance and Lie symmetry in the systems. Next, their relation is deduced. We show that the structure equation and conserved quantity of the form invariance and Lie symmetry of non-holonomic systems have the same form. Finally, we give an example to illustrate the application of the result.

Key words: analytical mechanics, non-holonomic mechanics, form invariance, Lie symmetry

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

45.05.+x

王树勇, 梅凤翔. Form invariance and Lie symmetry of equations of non-holonomic systems[J]. 中国物理B, 2002, 11(1): 5-8.

Wang Shu-Yong (王树勇), Mei Feng-Xiang (梅凤翔). Form invariance and Lie symmetry of equations of non-holonomic systems[J]. Chinese Physics, 2002, 11(1): 5-8.

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Form invariance and Lie symmetry of equations of non-holonomic systems

Form invariance and Lie symmetry of equations of non-holonomic systems

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