scholarly journals Conformal invariance and conserved quantity for holonomic mechanical systems with variable mass

2009 ◽  
Vol 58 (8) ◽  
pp. 5150
Author(s):  
Chen Xiang-Wei ◽  
Zhao Yong-Hong ◽  
Liu Chang
Keyword(s):  
Conformal Invariance ◽  
Variable Mass ◽  
Mechanical Systems ◽  
Conserved Quantity

Conformal invariance and conserved quantity of third-order Lagrange equations for non-conserved mechanical systems

2009 ◽  
Vol 18 (11) ◽  
pp. 4650-4656 ◽  
Author(s):  
Zhang Ming-Jiang ◽  
Fang Jian-Hui ◽  
Lu Kai ◽  
Zhang Ke-Jun ◽  
Li Yan
Keyword(s):  
Conformal Invariance ◽  
Mechanical Systems ◽  
Conserved Quantity ◽  
Lagrange Equations ◽  
Third Order

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 Non－Noether conserved quantity of a general form for mechanical systems with variable mass

2004 ◽  
Vol 53 (12) ◽  
pp. 4037
Author(s):  
Fang Jian－Hui ◽  
Liao Yong－Pan ◽  
Zhang Jun
Keyword(s):  
Variable Mass ◽  
Mechanical Systems ◽  
Conserved Quantity

scholarly journals The conserved quantity of Hojman for mechanicalsystems with variable mass in phase space

2004 ◽  
Vol 53 (12) ◽  
pp. 4041
Author(s):  
Fang Jian－Hui ◽  
Zhang Peng－Yu
Keyword(s):  
Phase Space ◽  
Variable Mass ◽  
Conserved Quantity
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