Perturbation to Noether-Mei Symmetry and Adiabatic Invariants for Nonholonomic Mechanical Systems in Phase Space

被引：1

作者：

Zhang Ming-Jiang ^{[1
]}

Fang Jian-Hui ^{[1
]}

Lu Kai ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2009年 / 51卷 / 04期

关键词：

Noether-Mei symmetry; perturbation; adiabatic invariant; nonholonomic mechanical system; phase space; GENERALIZED HOJMAN TYPE; LIE SYMMETRY;

D O I：

10.1088/0253-6102/51/4/05

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the concept of adiabatic invariant, the perturbation of Noether-Mei symmetry and adiabatic invariants for nonholonomic mechanical systems in phase space are studied. The definition of the perturbation to Noether-Mei symmetry for the system is presented, and the criterion of the perturbation to Noether-Mei symmetry is given. Meanwhile, the Noether adiabatic invariants and the Mei adiabatic invariants for the perturbed system are obtained.

引用

页码：600 / 604

页数：5

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