scholarly journals Conformal invariance and conserved quantity of Mei symmetry for the nonholonomic system of Chetaev's type

2012 ◽  
Vol 61 (3) ◽  
pp. 030201
Author(s):  
Cai Jian-Le ◽  
Shi Sheng-Shui
Keyword(s):  
Conformal Invariance ◽  
Nonholonomic System ◽  
Conserved Quantity ◽  
Mei Symmetry

scholarly journals Mei symmetry and Mei conserved quantity of Nielsen equation for a nonholonomic system

2008 ◽  
Vol 57 (4) ◽  
pp. 2006
Author(s):  
Jia Li-Qun ◽  
Luo Shao-Kai ◽  
Zhang Yao-Yu
Keyword(s):  
Nonholonomic System ◽  
Conserved Quantity ◽  
Mei Symmetry

scholarly journals Conformal invariance and conserved quantity of Mei symmetry for Appell equations in holonomic system

2013 ◽  
Vol 62 (16) ◽  
pp. 160201
Author(s):  
Han Yue-Lin ◽  
Sun Xian-Ting ◽  
Zhang Yao-Yu ◽  
Jia Li-Qun
Keyword(s):  
Conformal Invariance ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Appell Equations ◽  
Mei Symmetry

Conformal Invariance and Conserved Quantity of Mei Symmetry for Appell Equations in a Holonomic System with Mass Variable

2014 ◽  
Vol 670-671 ◽  
pp. 617-625
Author(s):  
Yao Yu Zhang ◽  
Xian Ting Sun ◽  
Xi Chang Xue ◽  
Li Qun Jia
Keyword(s):  
Conformal Invariance ◽  
Infinitesimal Generator ◽  
Transformation Group ◽  
Equations Of Motion ◽  
Variable Mass ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Parameter Transformation ◽  
Appell Equations ◽  
Mei Symmetry

For a holonomic system with variable mass, the conformal invariance and the conserved quantity of Mei symmetry of Appell equations are investigated. First, by the infinitesimal one-parameter transformation group and the infinitesimal generator vector, the Mei symmetry and the conformal invariance of differential equations of motion for Appell equations in a holonomic system with variable mass are defined, and the determining equation of Mei symmetry and conformal invariance for Appell equations in a holonomic system with variable mass are given. Then, the Mei-conserved quantity corresponding to the system is derived by means of the structure equation to which the gauge function satisfies. Finally, an example is given to illustrate the application of the result.

scholarly journals Conformal invariance, Mei symmetry and the conserved quantity of the Kepler equation

2012 ◽  
Vol 61 (20) ◽  
pp. 200202
Author(s):  
Liu Hong-Wei ◽  
Li Ling-Fei ◽  
Yang Shi-Tong
Keyword(s):  
Conformal Invariance ◽  
Conserved Quantity ◽  
Kepler Equation ◽  
Mei Symmetry
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