Perturbation to Mei Symmetry and Adiabatic Invariants for Nonholonomic Systems in Terms of Quasi-Coordinates

被引：0

作者：

Pang Ting ^{[1
]}

Fang Jian-Hui ^{[1
]}

Zhang Ming-Jiang ^{[1
]}

Lin Peng ^{[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 / 52卷 / 05期

关键词：

Mei symmetry; perturbation; nonholonomic mechanical system; quasi-coordinates; VARIABLE MASS SYSTEMS; MECHANICAL SYSTEMS; CONSTRAINTS; EQUATIONS;

D O I：

暂无

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 to Mei symmetry and adiabatic invariants for nonholonomic mechanical systems in terms of quasi-coordinates are studied. The definition of the perturbation to Mei symmetry for the system is presented, and the criterion of the perturbation to Mei symmetry is given. Meanwhile, the Mei adiabatic invariants for the perturbed system are obtained.

引用

页码：779 / 783

页数：5

共 50 条

[21] Perturbation to Mei Symmetry and Generalized Mei Adiabatic Invariants for Birkhoffian Systems
Zhang, Ming-Jiang
Fang, Jian-Hui
Lu, Kai
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2010, 49 (02) : 427 - 437
[22] Perturbation to Mei Symmetry and Generalized Mei Adiabatic Invariants for Birkhoffian Systems
Ming-Jiang Zhang
Jian-Hui Fang
Kai Lu
International Journal of Theoretical Physics, 2010, 49 : 427 - 437
[23] Symmetry of lagrangians of holonomic systems in terms of quasi-coordinates
School of Science, Beijing Institute of Technology, Beijing 100081, China
Chin. Phys., 2009, 8 (3145-3149):
[24] Perturbation to Noether Quasi-Symmetry and Adiabatic Invariants for Nonholonomic Systems on Time Scales
Chuanjing Song
JournalofBeijingInstituteofTechnology, 2019, 28 (03) : 469 - 476
[25] Perturbation to Noether Quasi-Symmetry and Adiabatic Invariants for Nonholonomic Systems on Time Scales
Song C.
Journal of Beijing Institute of Technology (English Edition), 2019, 28 (03): : 469 - 476
[26] Perturbation to Mei symmetry and Mei adiabatic invariants for mechanical systems in phase space
张明江
方建会
张小妮
路凯
Chinese Physics B, 2008, 17 (06) : 1957 - 1961
[27] Perturbation to Mei Symmetry and Noether Adiabatic Invariants for Birkhoffian Systems
DING Ning~1 FANG Jian-Hui~21 Department of Physics and Electronics Science
Communications in Theoretical Physics, 2008, 49 (06) : 1410 - 1412
[28] Perturbation to Mei symmetry and Noether adiabatic invariants for Birkhoffian systems
Ding Ning
Fang Jian-Hui
COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 49 (06) : 1410 - 1412
[29] Perturbation to Mei symmetry and Mei adiabatic invariants for mechanical systems in phase space
Zhang Ming-Jiang
Fang Jian-Hui
Zhang Xiao-Ni
Lu Kai
CHINESE PHYSICS B, 2008, 17 (06) : 1957 - 1961
[30] Perturbation to Lie-Mei Symmetry and Adiabatic Invariants for Birkhoffian Systems
ZHANG Ming-Jiang
Communications in Theoretical Physics, 2009, 52 (07) : 1 - 6

← 1 2 3 4 5 →