Symmetries and Mei Conserved Quantities of Nonholonomic Controllable Mechanical Systems

This paper concentrates on studying the symmetries and a new type of conserved quantities called Mei conserved quantity. The criterions of the Mei symmetry, the Noether symmetry and the Lie symmetry are given. The conditions and the forms of the Mei conserved quantities deduced from these three symm...

Full description

Saved in:
Bibliographic Details
Published inCommunications in theoretical physics Vol. 46; no. 3; pp. 415 - 418
Main Authors Li-Li, Xia, Yuan-Cheng, Li, Jing, Wang, Qi-Bao, Hou
Format Journal Article
LanguageEnglish
Published IOP Publishing 15.09.2006
Subjects
保有量
对称性
非完整机械系统
Online AccessGet full text

Cover

More Information
Summary:This paper concentrates on studying the symmetries and a new type of conserved quantities called Mei conserved quantity. The criterions of the Mei symmetry, the Noether symmetry and the Lie symmetry are given. The conditions and the forms of the Mei conserved quantities deduced from these three symmetries are obtained. An example is given to illustrate the application of the result.
Bibliography:O411
11-2592/O3
control, nonholonomic mechanical system, Mei symmetry, Noether symmetry, Lie symmetry, conserved quantity
ISSN:0253-6102
DOI:10.1088/0253-6102/46/3/007