Open AccessConformal invariance and conserved quantity of Mei symmetry for Appell equations in nonholonomic systems of Chetaev’s type with variable mass
Author(s) -
Zhang Fang,
Wei Li,
Yaoyu Zhang,
Xue Xi-chang,
Jia Li-Qun
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.63.164501
Subject(s) - conformal symmetry , mathematical physics , symmetry (geometry) , nonholonomic system , conformal map , physics , type (biology) , conserved quantity , transformation (genetics) , infinitesimal , variable (mathematics) , classical mechanics , mathematical analysis , mathematics , geometry , computer science , ecology , biochemistry , chemistry , artificial intelligence , gene , robot , biology , mobile robot
Conformal invariance and conserved quantity of Mei symmetry for Appell equations of nonholonomic system of Chetaev's type with variable mass are studied. The conformal invariance and Mei symmetry for Appell equations of nonholonomic systems of Chetaev's type with variable mass are defined under the infinitesimal transformation of group, and the determining equations of conformal invariance of Mei symmetry for the system are given. Then, the expression of the corresponding conserved quantity of the system is derived. Finally, an example is given to illustrate the application of the results.