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

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: analytical mechanics non-holonomic mechanics form invariance Lie symmetry
• 年，卷（期）: 2002,（1）
• 页码范围: 5-8
• 页数: 4页
• 分类号: O4
• 语种: 英文

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 relationis deduced. We show that the structure equation and conserved quantity of the form invariance and Lie symmetry ofnon-holonomic systems have the same form. Finally, we give an example to illustrate the application of the result.