Open AccessMei symmetry and conserved quantity of Tzénoff equations for nonholonomic systems
Author(s) -
Zheng Shi-wang,
Jia Li-Qun
Publication year - 2007
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.56.661
Subject(s) - nonholonomic system , infinitesimal , symmetry (geometry) , conserved quantity , mathematical physics , transformation (genetics) , physics , classical mechanics , rotational symmetry , symmetry group , infinitesimal transformation , mathematics , mathematical analysis , mechanics , geometry , computer science , artificial intelligence , robot , mobile robot , biochemistry , chemistry , gene
The Mei symmetry of Tzénoff equations for nonholonomic systems under the infinitesimal transformation of groups is studied in this paper. The definition and the criterion equations of the symmetry are given. If the symmetry is a Lie symmetry, then the Hojman conserved quantity of the Tzénoff equation can be obtained by the Mei symmetry.