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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DOI：
10.1088/1009-1963/11/1/302
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发表时间：
2005-06
期刊：
影响因子：
--
通讯作者：
Shu-yong Wang;Fengxiang Mei
中科院分区：
文献类型：
--
作者：
Shu-yong Wang;Fengxiang Mei
本文研究了非完整系统的形式不变性与Lie对称性之间的关系。首先，我们给出了系统的形式不变性和Lie对称性的定义和判据。接下来，推导出它们的关系。证明了非完整系统的形式不变性和Lie对称性的结构方程和守恒量具有相同的形式。最后，我们给出了一个例子来说明结果的应用。
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.