Symmetry and conserved quantities of discrete generalized Birkhoffian system

The Noether symmetry, the Mei symmetry and the conserved quantities of discrete generalized Birkhoffian system are studied in this paper. Using the difference discrete variational approach, the difference discrete variational principle of discrete generalized Birkhoffian system is derived. The discr...

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Bibliographic Details
Published in:Chinese physics B 2010-12, Vol.19 (12), p.356-361
Main Author: 张克军 方建会 李燕
Format: Article
Language:English
Subjects:
Birkhoff系统
Mei对称性
Noether守恒量
Noether对称性
变分原理
离散变分法
运动方程
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Summary:The Noether symmetry, the Mei symmetry and the conserved quantities of discrete generalized Birkhoffian system are studied in this paper. Using the difference discrete variational approach, the difference discrete variational principle of discrete generalized Birkhoffian system is derived. The discrete equations of motion of the system are established. The criterion of Noether symmetry and Mei symmetry of the system is given. The discrete Noether and Mei conserved quantities and the conditions for their existence are obtained. Finally, an example is given to show the applications of the results.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/12/124601