Open AccessLIE SYMMETRIES AND CONSERVED QUANTITIES OF NONHOLONOMIC SYSTEMS WITH SERVOCONSTR AINTS
Author(s) -
Mei Feng-Xiang
Publication year - 2000
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.49.1207
Subject(s) - nonholonomic system , conserved quantity , homogeneous space , infinitesimal , symmetry (geometry) , lie group , mathematical physics , physics , lie theory , pure mathematics , adjoint representation of a lie algebra , mathematics , mathematical analysis , computer science , lie conformal algebra , geometry , artificial intelligence , robot , mobile robot
Using the invariance of the algebraic equations and the differential equations under the infinitesimal transformations,we study the Lie symmetries and conserved quantities of the nonholonomic systems with servoconstraints.We establish the determining equations,the restriction equations and the structure equation,and give the form of conserved quantities.