Open AccessA new type of conserved quantity deduced from conformal invariance in nonholonomic mechanical system
Author(s) -
Wang Ting-Zhi,
Xiaoqiang Sun,
Yazhou Han
Publication year - 2014
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.63.090201
Subject(s) - nonholonomic system , conformal symmetry , conserved quantity , conformal map , symmetry (geometry) , physics , function (biology) , mathematical physics , classical mechanics , gauge (firearms) , mechanical system , type (biology) , gauge theory , mathematical analysis , mathematics , computer science , geometry , biology , robot , materials science , artificial intelligence , ecology , evolutionary biology , mobile robot , metallurgy
Conformal invariance and a new type of conserved quantity in nonholonomic mechanical system are studied. The definition and determining equation of conformal invariance for the nonholonomic mechanical system are provided; and the necessary and sufficient conditions that the conformal invariance for a nonholonomic mechanical system should be of Lie symmetry are deduced. With the aid of a new structure equation that the gauge function satisfies, the system's corresponding new conserved quantity is obtained. Finally an example is given to illustrate the application of the results.