Open AccessPoincaré-Cartan integral invariant of a nonholonomic constrained generalized mechanical system
Author(s) -
Aimin Li,
Ying Zhang,
Ziping Li
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.53.2816
Subject(s) - nonholonomic system , invariant (physics) , poincaré conjecture , mathematics , mathematical analysis , mathematical physics , computer science , robot , artificial intelligence , mobile robot
Based on generalized Apell-Четаев constrained conditions and taking into a ccount the inherent higher-order nonholonomic constraints,the generalized Poincaré-Cartan integral invariant for a generalized mechanical system with higher- order subsidiary nonholonomic constraints is formulated. We can show that the ex istence of Poincaré-Cartan integral invariant for such a system is equivalent to the generalized canonical equation of a nonholonomic constrained generalized mechanical system.