Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion

Chinese Physics B ◽

10.1088/1674-1056/20/1/010203 ◽

2011 ◽

Vol 20 (1) ◽

pp. 010203 ◽

Author(s):

Yin-Li Xie ◽

Li-Qun Jia ◽

Shao-Kai Luo

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Lie Symmetry ◽

Conserved Quantity ◽

Appell Equations ◽

Hojman Conserved Quantity

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Generalized Hojman conserved quantity deduced from generalized Lie symmetry of Appell equations for a variable mass mechanical system in relative motion

Acta Physica Sinica ◽

10.7498/aps.63.010201 ◽

2014 ◽

Vol 63 (1) ◽

pp. 010201

Author(s):

Jia Li-Qun ◽

Sun Xian-Ting ◽

Zhang Mei-Ling ◽

Zhang Yao-Yu ◽

Han Yue-Lin

Keyword(s):

Mechanical System ◽

Relative Motion ◽

Variable Mass ◽

Lie Symmetry ◽

Conserved Quantity ◽

Appell Equations ◽

Hojman Conserved Quantity

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Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint

Chinese Physics B ◽

10.1088/1674-1056/20/12/124501 ◽

2011 ◽

Vol 20 (12) ◽

pp. 124501

Author(s):

Xiao-Xiao Wang ◽

Xian-Ting Sun ◽

Mei-Ling Zhang ◽

Yin-Li Xie ◽

Li-Qun Jia

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Nonholonomic Constraint ◽

Lie Symmetry ◽

Conserved Quantity ◽

Hojman Conserved Quantity

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Lie symmetry and Hojman conserved quantity of Nielsen equation in a dynamical system of the relative motion

Acta Physica Sinica ◽

10.7498/aps.60.030201 ◽

2011 ◽

Vol 60 (3) ◽

pp. 030201

Author(s):

Xie Yin-Li ◽

Jia Li-Qun ◽

Yang Xin-Fang

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Lie Symmetry ◽

Conserved Quantity ◽

Hojman Conserved Quantity

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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 ◽

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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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 ◽

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

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

Chinese Physics Letters ◽

10.1088/0256-307x/26/3/030303 ◽

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

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Lie symmetry and its generation of conserved quantity of Appell equation in a dynamical system of the relative motion with Chetaev-type nonholonomic constraints

Chinese Physics B ◽

10.1088/1674-1056/22/2/020201 ◽

2013 ◽

Vol 22 (2) ◽

pp. 020201 ◽

Author(s):

Xiao-Xiao Wang ◽

Yue-Lin Han ◽

Mei-Ling Zhang ◽

Li-Qun Jia

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Nonholonomic Constraints ◽

Lie Symmetry ◽

Conserved Quantity

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Conformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system

Acta Physica Sinica ◽

10.7498/aps.63.140201 ◽

2014 ◽

Vol 63 (14) ◽

pp. 140201

Author(s):

Sun Xian-Ting ◽

Zhang Yao-Yu ◽

Zhang Fang ◽

Jia Li-Qun

Keyword(s):

Conformal Invariance ◽

Lie Symmetry ◽

Conserved Quantity ◽

Holonomic System ◽

Appell Equations ◽

Hojman Conserved Quantity

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Lie symmetry and approximate Hojman conserved quantity of Appell equations for a weakly nonholonomic system

Nonlinear Dynamics ◽

10.1007/s11071-012-0657-y ◽

2012 ◽

Vol 71 (3) ◽

pp. 401-408 ◽

Author(s):

Yuelin Han ◽

Xiaoxiao Wang ◽

Meiling Zhang ◽

Liqun Jia

Keyword(s):

Nonholonomic System ◽

Lie Symmetry ◽

Conserved Quantity ◽

Appell Equations ◽

Weakly Nonholonomic System ◽

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 ◽

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 ◽

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