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

Based on the concept of adiabatic invariant, the perturbation to Noether Mei symmetry and adiabatic invariants for nonholonomie 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...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 51; no. 4; pp. 600 - 604
Main Author ZHANG Ming-Jiang FANG Jian-Hui LU Kai
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.04.2009
Subjects
Mei对称性
Noether
摄动系统
机械系统
相空间
绝热不变量
非完整力学系统
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Summary:Based on the concept of adiabatic invariant, the perturbation to Noether Mei symmetry and adiabatic invariants for nonholonomie 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.
Bibliography:Noether-Mei symmetry, perturbation, adiabatic invariant, nonholonomic mechanical system,phase space
11-2592/O3
O316
O153.3
ISSN:0253-6102
DOI:10.1088/0253-6102/51/4/05