Form invariance and Hojman conserved quantity for nonholonomic mechanical systems

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

doi:10.7498/aps.53.2413

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

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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

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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

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Effects of mass variation on form invariance and conserved quantity of mechanical systems

Acta Physica Sinica ◽

10.7498/aps.54.2478 ◽

2005 ◽

Vol 54 (6) ◽

pp. 2478

Author(s):

Ge Wei-Kuan

Keyword(s):

Mechanical Systems ◽

Conserved Quantity ◽

Mass Variation ◽

Form Invariance

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Form invariance and Hojman conserved quantity of Maggi equation

Acta Physica Sinica ◽

10.7498/aps.56.5045 ◽

2007 ◽

Vol 56 (9) ◽

pp. 5045

Author(s):

Hu Chu-Le ◽

Xie Jia-Fang

Keyword(s):

Conserved Quantity ◽

Form Invariance ◽

Hojman Conserved Quantity

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Lie-form invariance of nonholonomic mechanical systems

Chinese Physics ◽

10.1088/1009-1963/15/3/001 ◽

2006 ◽

Vol 15 (3) ◽

pp. 467-469 ◽

Cited By ~ 6

Author(s):

Xia Li-Li ◽

Wang Jing ◽

Hou Qi-Bao ◽

Li Yuan-Cheng

Keyword(s):

Mechanical Systems ◽

Form Invariance ◽

Nonholonomic Mechanical Systems

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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

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Three-order form invariance and conserved quantity

Chinese Physics ◽

10.1088/1009-1963/15/8/005 ◽

2006 ◽

Vol 15 (8) ◽

pp. 1672-1677 ◽

Cited By ~ 5

Author(s):

Yang Xue-Hui ◽

Ma Shan-Jun

Keyword(s):

Conserved Quantity ◽

Form Invariance ◽

Order Form

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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

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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

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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

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