Effects of constraints on Lie symmetries and conserved quantities of a Birkhoff system

2000 ◽  
Vol 10 (1) ◽  
pp. 12-16 ◽  
Author(s):  
Zhang Rui-chao ◽  
Chen Xiang-wei ◽  
Mei Feng-xiang
Keyword(s):  
Lie Symmetries ◽  
Conserved Quantities ◽  
Birkhoff System

The Lie symmetries and Noether conserved quantities of discrete mechanical systems with variable mass

2008 ◽  
Vol 17 (3) ◽  
pp. 754-758 ◽  
Author(s):  
Shi Shen-Yang ◽  
Fu Jing-Li ◽  
Huang Xiao-Hong ◽  
Chen Li-Qun ◽  
Zhang Xiao-Bo
Keyword(s):  
Variable Mass ◽  
Mechanical Systems ◽  
Lie Symmetries ◽  
Conserved Quantities ◽  
Discrete Mechanical Systems

HOJMAN CONSERVED QUANTITIES AND LIE SYMMETRIES OF DISCRETE NON-CONSERVATIVE SYSTEMS

2009 ◽  
Vol 23 (10) ◽  
pp. 1315-1322 ◽  
Author(s):  
JING-LI FU ◽  
BEN-YONG CHEN
Keyword(s):  
Dynamical Systems ◽  
Lie Symmetry ◽  
Lie Symmetries ◽  
Conserved Quantity ◽  
Conserved Quantities ◽  
Conservative Systems ◽  
The Right ◽  
Hojman Conserved Quantity

This letter focuses on studying the theory of Hojman conserved quantity of the discrete non-conservative dynamical systems. The operators of discrete translation and discrete differentiation to the right and left are introduced in discrete non-conservative dynamical systems. The Hojman theorems, the determining equations and Hojman conserved quantities of the Lie symmetry are obtained for discrete non-conservative dynamical systems. Finally, an example is discussed to illustrate the application of the results.

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