Mei symmetry and Mei conserved quantity of Nielsen equation for a nonholonomic system

Jia Li-Qun;  Luo Shao-Kai;  Zhang Yao-Yu

doi:10.7498/aps.57.2006

Mei symmetry and Mei conserved quantity of Nielsen equation for a nonholonomic system

Acta Physica Sinica ◽

10.7498/aps.57.2006 ◽

2008 ◽

Vol 57 (4) ◽

pp. 2006

Author(s):

Jia Li-Qun ◽

Luo Shao-Kai ◽

Zhang Yao-Yu

Keyword(s):

Nonholonomic System ◽

Conserved Quantity ◽

Mei Symmetry

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Conformal invariance and conserved quantity of Mei symmetry for higher-order nonholonomic system

Acta Mechanica ◽

10.1007/s00707-011-0573-0 ◽

2011 ◽

Vol 223 (2) ◽

pp. 433-440 ◽

Cited By ~ 11

Author(s):

Wei-Li Huang ◽

Jian-Le Cai

Keyword(s):

Conformal Invariance ◽

Nonholonomic System ◽

Higher Order ◽

Conserved Quantity ◽

Mei Symmetry

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Special Mei symmetry and approximate conserved quantity of Appell equations for a weakly nonholonomic system

Nonlinear Dynamics ◽

10.1007/s11071-012-0387-1 ◽

2012 ◽

Vol 69 (4) ◽

pp. 1807-1812 ◽

Cited By ~ 23

Author(s):

Liqun Jia ◽

Xiaoxiao Wang ◽

Meiling Zhang ◽

Yuelin Han

Keyword(s):

Nonholonomic System ◽

Conserved Quantity ◽

Appell Equations ◽

Approximate Conserved Quantity ◽

Weakly Nonholonomic System ◽

Mei Symmetry

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Conformal invariance and conserved quantity of Mei symmetry for Appell equations in a nonholonomic system of Chetaev’s type

Nonlinear Dynamics ◽

10.1007/s11071-014-1314-4 ◽

2014 ◽

Vol 77 (3) ◽

pp. 521-527 ◽

Cited By ~ 6

Author(s):

Yaoyu Zhang ◽

Fang Zhang ◽

Yuelin Han ◽

Liqun Jia

Keyword(s):

Conformal Invariance ◽

Nonholonomic System ◽

Conserved Quantity ◽

Appell Equations ◽

Mei Symmetry

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A type of the new exact and approximate conserved quantity deduced from Mei symmetry for a weakly nonholonomic system

Acta Physica Sinica ◽

10.7498/aps.62.110201 ◽

2013 ◽

Vol 62 (11) ◽

pp. 110201

Author(s):

Han Yue-Lin ◽

Wang Xiao-Xiao ◽

Zhang Mei-Ling ◽

Jia Li-Qun

Keyword(s):

Nonholonomic System ◽

Conserved Quantity ◽

Approximate Conserved Quantity ◽

Weakly Nonholonomic System ◽

Mei Symmetry

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Conformal invariance and conserved quantity of Mei symmetry for the nonholonomic system of Chetaev's type

Acta Physica Sinica ◽

10.7498/aps.61.030201 ◽

2012 ◽

Vol 61 (3) ◽

pp. 030201

Author(s):

Cai Jian-Le ◽

Shi Sheng-Shui

Keyword(s):

Conformal Invariance ◽

Nonholonomic System ◽

Conserved Quantity ◽

Mei Symmetry

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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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Mei symmetry and Mei conserved quantity of the Appell equation in a dynamical system of relative motion with non-Chetaev nonholonomic constraints

Chinese Physics B ◽

10.1088/1674-1056/21/5/050201 ◽

2012 ◽

Vol 21 (5) ◽

pp. 050201 ◽

Cited By ~ 2

Author(s):

Xiao-Xiao Wang ◽

Xian-Ting Sun ◽

Mei-Ling Zhang ◽

Yue-Lin Han ◽

Li-Qun Jia

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Nonholonomic Constraints ◽

Conserved Quantity ◽

Mei Symmetry

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Mei symmetry and Mei conserved quantity of nonholonomic systems of non-Chetaev’s type in event space

Acta Physica Sinica ◽

10.7498/aps.56.5575 ◽

2007 ◽

Vol 56 (10) ◽

pp. 5575

Author(s):

Jia Li-Qun ◽

Zheng Shi-Wang ◽

Zhang Yao-Yu

Keyword(s):

Nonholonomic Systems ◽

Conserved Quantity ◽

Event Space ◽

Mei Symmetry

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Approximate conserved quantity of a weakly nonholonomic system

Acta Physica Sinica ◽

10.7498/aps.58.6729 ◽

2009 ◽

Vol 58 (10) ◽

pp. 6729

Author(s):

Ge Wei-Kuan

Keyword(s):

Nonholonomic System ◽

Conserved Quantity ◽

Approximate Conserved Quantity ◽

Weakly Nonholonomic System

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A new type of conserved quantity of Mei symmetry for Lagrange system

Chinese Physics ◽

10.1088/1009-1963/16/4/002 ◽

2007 ◽

Vol 16 (4) ◽

pp. 887-890 ◽

Cited By ~ 25

Author(s):

Fang Jian-Hui ◽

Ding Ning ◽

Wang Peng

Keyword(s):

Conserved Quantity ◽

Lagrange System ◽

New Type ◽

Mei Symmetry

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