Noether symmetry and Hojman conserved quantity for nonholonomic mechanical systems

Luo Shao-Kai;  Guo Yong-Xin;  Mei Feng-Xiang

doi:10.7498/aps.53.1270

Noether symmetry and Hojman conserved quantity for nonholonomic mechanical systems

Acta Physica Sinica ◽

10.7498/aps.53.1270 ◽

2004 ◽

Vol 53 (5) ◽

pp. 1270

Author(s):

Luo Shao-Kai ◽

Guo Yong-Xin ◽

Mei Feng-Xiang

Keyword(s):

Mechanical Systems ◽

Conserved Quantity ◽

Noether Symmetry ◽

Nonholonomic Mechanical Systems ◽

Hojman Conserved Quantity

Download Full-text

Form invariance and Hojman conserved quantity for nonholonomic mechanical systems

Acta Physica Sinica ◽

10.7498/aps.53.2413 ◽

2004 ◽

Vol 53 (8) ◽

pp. 2413

Author(s):

Luo Shao-Kai ◽

Guo Yong-Xin ◽

Mei Feng-Xiang

Keyword(s):

Mechanical Systems ◽

Conserved Quantity ◽

Form Invariance ◽

Nonholonomic Mechanical Systems ◽

Hojman Conserved Quantity

Download Full-text

A non-Noether conserved quantity, i.e. Hojman conserved quantity, for nonholonomic mechanical systems

Acta Physica Sinica ◽

10.7498/aps.53.6 ◽

2004 ◽

Vol 53 (3) ◽

pp. 6

Author(s):

Luo Shao-Kai ◽

Mei Feng-Xiang

Keyword(s):

Mechanical Systems ◽

Conserved Quantity ◽

Nonholonomic Mechanical Systems ◽

Hojman Conserved Quantity

Download Full-text

Hojman conserved quantity deduced by weak Noether symmetry for Lagrange systems

Chinese Physics B ◽

10.1088/1674-1056/17/2/006 ◽

2008 ◽

Vol 17 (2) ◽

pp. 390-393 ◽

Cited By ~ 5

Author(s):

Xie Jia-Fang ◽

Gang Tie-Qiang ◽

Mei Feng-Xiang

Keyword(s):

Conserved Quantity ◽

Noether Symmetry ◽

Hojman Conserved Quantity

Download Full-text

Noether symmetry and the Hojman conserved quantity of the Kepler equation

Acta Physica Sinica ◽

10.7498/aps.59.716 ◽

2010 ◽

Vol 59 (2) ◽

pp. 716

Author(s):

Gu Shu-Long ◽

Zhang Hong-Bin

Keyword(s):

Conserved Quantity ◽

Noether Symmetry ◽

Kepler Equation ◽

Hojman Conserved Quantity

Download Full-text

Passive configuration decomposition and practical stabilization of nonholonomic mechanical systems with symmetry

49th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2010.5718145 ◽

2010 ◽

Cited By ~ 7

Author(s):

Dongjun Lee

Keyword(s):

Mechanical Systems ◽

Nonholonomic Mechanical Systems ◽

Practical Stabilization

Download Full-text

Noether symmetry and conserved quantity for dynamical system with non-standard Lagrangians on time scales

Chinese Physics B ◽

10.1088/1674-1056/26/8/084501 ◽

2017 ◽

Vol 26 (8) ◽

pp. 084501 ◽

Cited By ~ 9

Author(s):

Jing Song ◽

Yi Zhang

Keyword(s):

Dynamical System ◽

Time Scales ◽

Conserved Quantity ◽

Noether Symmetry

Download Full-text

On the Stabilization of Nonholonomic Mechanical Systems via Immersion and Invariance

IFAC Proceedings Volumes ◽

10.3182/20110828-6-it-1002.01537 ◽

2011 ◽

Vol 44 (1) ◽

pp. 7227-7232 ◽

Cited By ~ 3

Author(s):

I. Sarras

Keyword(s):

Mechanical Systems ◽

Nonholonomic Mechanical Systems ◽

Immersion And Invariance

Download Full-text

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

Nonlinear Dynamics ◽

10.1007/s11071-013-0791-1 ◽

2013 ◽

Vol 73 (1-2) ◽

pp. 357-361 ◽

Cited By ~ 8

Author(s):

Yuelin Han ◽

Xiaoxiao Wang ◽

Meiling Zhang ◽

Liqun Jia

Keyword(s):

Nonholonomic System ◽

Lie Symmetry ◽

Conserved Quantity ◽

Appell Equations ◽

Hojman Conserved Quantity

Download Full-text

Dirac reduction for nonholonomic mechanical systems and semidirect products

Advances in Applied Mathematics ◽

10.1016/j.aam.2014.10.004 ◽

2015 ◽

Vol 63 ◽

pp. 131-213 ◽

Cited By ~ 7

Author(s):

François Gay-Balmaz ◽

Hiroaki Yoshimura

Keyword(s):

Mechanical Systems ◽

Semidirect Products ◽

Nonholonomic Mechanical Systems

Download Full-text

Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion

Chinese Physics B ◽

10.1088/1674-1056/20/11/110202 ◽

2011 ◽

Vol 20 (11) ◽

pp. 110202 ◽

Cited By ~ 3

Author(s):

Mei-Ling Zhang ◽

Xian-Ting Sun ◽

Xiao-Xiao Wang ◽

Yin-Li Xie ◽

Li-Qun Jia

Keyword(s):

Relative Motion ◽

Variable Mass ◽

Lie Symmetry ◽

Conserved Quantity ◽

Holonomic System ◽

Hojman Conserved Quantity

Download Full-text