Open AccessNoether symmetry and Hojman conserved quantity for nonholonomic mechanical systems
Author(s) -
Luo Shao-Kai,
YongXin Guo,
Mei Feng-Xiang
Publication year - 2004
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.53.1270
Subject(s) - noether's theorem , conserved quantity , nonholonomic system , symmetry (geometry) , classical mechanics , physics , mathematical physics , mechanical system , lagrangian , computer science , mathematics , geometry , artificial intelligence , robot , mobile robot
A nonNoether conserved quantity, i. e. Hojman conserved quantity constructed using the Noether symmetry for the nonholonomic mechanical system is presented. Under special infinitesimal transformations in which the time is not variable, the special Noether symmetry and Noether conserved quantity are given, and the condition under which the special Noether symmetry is a special Lie symmetry is obtained. From the special Noether symmetry, the Hojman conserved quantity of the corresponding holonomic system, the weakly Hojman conserved quantity and the strongly Hojman conserved quantity of the nonholonomic systems are obtained. An example is given to illustrate the application of the result.