Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems

被引：0

作者：

王性忠 ^{[1
]}

付昊 ^{[2
]}

傅景礼 ^{[1
]}

机构：

[1] Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou , China

[2] China Jingye Engineering Corporation Limited Shenzhen Branch, Shenzhen , China

来源：

Chinese Physics B | 2012年 / 21卷 / 04期

关键词：

Lie symmetry; nonholonomic constraint; discrete Hamiltonian system; conserved quantity;

D O I：

暂无

中图分类号：

O241.6 [线性代数的计算方法];

学科分类号：

070102 ;

摘要：

This paper focuses on studying Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems. Firstly, the discrete generalized Hamiltonian canonical equations and discrete energy equation of nonholonomic Hamiltonian systems are derived from discrete Hamiltonian action. Secondly, the determining equations and structure equation of Lie symmetry of the system are obtained. Thirdly, the Lie theorems and the conservation quantities are given for the discrete nonholonomic Hamiltonian systems. Finally, an example is discussed to illustrate the application of the results.

引用

页码：30 / 35

页数：6