Open AccessForm invariance of Hamilton's canonical equations of a nonholonomic mechanical s ystem
Author(s) -
Qiao Yong-Fen,
Zhang Yao-liang,
Han Guang-cai
Publication year - 2003
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.52.1051
Subject(s) - infinitesimal , nonholonomic system , canonical form , classical mechanics , canonical coordinates , mechanical system , conserved quantity , relation (database) , physics , mathematical physics , mathematics , mathematical analysis , computer science , pure mathematics , quantum mechanics , robot , artificial intelligence , mobile robot , database , phase space
In this paper,a form invariance of Hamilton's canonical equations of a nonholonomic mechanical system is studied.First,the definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given .Next,the relation between the form invariance and the conserved quantity of the system is established.Finally,an example is given to illustrate the application of the result.