Open AccessMei symmetry and Mei conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type
Author(s) -
Xiaoxiao Wang,
Zhang Mei-Ling,
Yazhou Han,
Jia Li-Qun
Publication year - 2012
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.61.200203
Subject(s) - nonholonomic system , symmetry (geometry) , conserved quantity , physics , type (biology) , constraint (computer aided design) , motion (physics) , differential equation , equations of motion , mathematical physics , classical mechanics , dynamical system (definition) , dynamical systems theory , mathematical analysis , mathematics , quantum mechanics , computer science , geometry , ecology , artificial intelligence , robot , biology , mobile robot
Mei symmetry and Mei conserved quantity of Nielsen equations in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type are studied. The differential equations of motion of Nielsen equation for the system, the definition and criterion of Mei symmetry, and the expression of Mei conserved quantity deduced directly from Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.