Open AccessLie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems
Author(s) -
Hu Chu-Le
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.56.3675
Subject(s) - nonholonomic system , conserved quantity , homogeneous space , motion (physics) , physics , differential equation , classical mechanics , conservation law , mathematical physics , analytical mechanics , differential (mechanical device) , equations of motion , mathematics , computer science , quantum mechanics , geometry , thermodynamics , artificial intelligence , robot , mobile robot , quantum dynamics , quantum
The Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems are studied. The determining equations and the restriction equations of Lie symmetries of the system are obtained. The condition under which a conserved quantity exists is established and the form of the conserved quantity is given. An example is given to illustrate the application of the result.