Open AccessLie-Mei symmetry and conserved quantities of Nielsen equations for a singular nonholonomic system of Chetaev'type
Author(s) -
Xu Chao,
Li Yuan-Cheng
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.120201
Subject(s) - conserved quantity , nonholonomic system , infinitesimal , symmetry (geometry) , mathematical physics , type (biology) , physics , differential equation , classical mechanics , mathematical analysis , mathematics , quantum mechanics , computer science , geometry , ecology , artificial intelligence , robot , biology , mobile robot
Using an invariance of differential equations under the infinitesimal transformations of group, we study the Lie-Mei symmetry of Nielsen equations for a singular nonholonomic system of Chetaev'type. We establish the Lie-Mei symmetry equations. The definitions of weak and strong Lie-Mei symmetry are given, and Hojman conserved quantities and Mei conserved quantities are obtained. An example is given to illustrate the application of the results.