scholarly journals Special Lie symmetry and Hojman conserved quantity of Appell equations for a Chetaev nonholonomic system

2013 ◽  
Vol 73 (1-2) ◽  
pp. 357-361 ◽  
Author(s):  
Yuelin Han ◽  
Xiaoxiao Wang ◽  
Meiling Zhang ◽  
Liqun Jia
Keyword(s):  
Nonholonomic System ◽  
Lie Symmetry ◽  
Conserved Quantity ◽  
Appell Equations ◽  
Hojman Conserved Quantity

Lie Symmetry and Approximate Hojman Conserved Quantity of Lagrange Equations for a Weakly Nonholonomic System

2013 ◽  
Vol 30 (1) ◽  
pp. 21-27 ◽  
Author(s):  
Y.-L. Han ◽  
X.-X. Wang ◽  
M.-L. Zhang ◽  
L.-Q. Jia
Keyword(s):  
Nonholonomic System ◽  
Equations Of Motion ◽  
Lie Symmetry ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Lagrange Equations ◽  
Definition Of ◽  
Weakly Nonholonomic System ◽  
Infinitesimal Transformations ◽  
Hojman Conserved Quantity

ABSTRACTThe Lie symmetry and Hojman conserved quantity of Lagrange equations for a weakly nonholonomic system and its first-degree approximate holonomic system are studied. The differential equations of motion for the system are established. Under the special infinitesimal transformations of group in which the time is invariable, the definition of the Lie symmetry for the weakly nonholonomic system and its first-degree approximate holonomic system are given, and the exact and approximate Hojman conserved quantities deduced directly from the Lie symmetry are obtained. Finally, an example is given to study the exact and approximate Hojman conserved quantity for the system.

Special Lie Symmetry and Hojman Conserved Quantity of Appell Equations for a Holonomic System

2009 ◽  
Vol 26 (3) ◽  
pp. 030303 ◽  
Author(s):  
Jia Li-Qun ◽  
Cui Jin-Chao ◽  
Luo Shao-Kai ◽  
Yang Xin-Fang
Keyword(s):  
Lie Symmetry ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Appell Equations ◽  
Hojman Conserved Quantity

Lie symmetry and Hojman conserved quantity of Nambu system

2008 ◽  
Vol 17 (12) ◽  
pp. 4361-4364 ◽  
Author(s):  
Lin Peng ◽  
Fang Jian-Hui ◽  
Pang Ting
Keyword(s):  
Lie Symmetry ◽  
Conserved Quantity ◽  
Hojman Conserved Quantity

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.

Sign in / Sign up

Export Citation Format

Share Document