Perturbation to Noether Symmetry and Noether Adiabatic Invariants of General Discrete Holonomic Systems

被引：0

作者：

Zhang Ming-Jiang ^{[1
]}

Fang Jian-Hui ^{[1
]}

Lu Kai ^{[1
]}

Zhang Ke-Jun ^{[1
]}

Li Yan ^{[1
]}

机构：

[1] China Univ Petr, Coll Phys Sci & Technol, Dongying 257061, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2009年 / 26卷 / 12期

关键词：

LIE SYMMETRIES; MEI SYMMETRY; EQUATIONS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The perturbation to Noether symmetry and Noether adiabatic invariants of general discrete holonomic systems are studied. First, the discrete Noether exact invariant induced directly from the Noether symmetry of the system without perturbation is given. Secondly, the concept of discrete high-order adiabatic invariant is presented, the criterion of the perturbation to Noether symmetry is established, and the discrete Noether adiabatic invariant induced directly from the perturbation to Noether symmetry is obtained. Lastly, an example is discussed to illustrate the application of the results.

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页数：4

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