Conformal invariance and conserved quantity of relative motion holonomic dynamical system in phase space

Wang Ting-Zhi;  Sun Xian-Ting;  Han Yue-Lin

doi:10.7498/aps.63.104502

Conformal invariance and conserved quantity of relative motion holonomic dynamical system in phase space

Acta Physica Sinica ◽

10.7498/aps.63.104502 ◽

2014 ◽

Vol 63 (10) ◽

pp. 104502

Author(s):

Wang Ting-Zhi ◽

Sun Xian-Ting ◽

Han Yue-Lin

Keyword(s):

Dynamical System ◽

Phase Space ◽

Relative Motion ◽

Conformal Invariance ◽

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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Conformal invariance and conserved quantity of Mei symmetry for Appell equation in a holonomic system in relative motion

Acta Physica Sinica ◽

10.7498/aps.64.134501 ◽

2015 ◽

Vol 64 (13) ◽

pp. 134501

Author(s):

Zhang Fang ◽

Zhang Yao-Yu ◽

Xue Xi-Chang ◽

Jia Li-Qun

Keyword(s):

Relative Motion ◽

Conformal Invariance ◽

Conserved Quantity ◽

Holonomic System ◽

Mei Symmetry

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Noether symmetry and Noether conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type

Acta Physica Sinica ◽

10.7498/aps.61.064501 ◽

2012 ◽

Vol 61 (6) ◽

pp. 064501

Author(s):

Wang Xiao-Xiao ◽

Sun Xian-Ting ◽

Zhang Mei-Ling ◽

Xie Yin-Li ◽

Jia Li-Qun

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Nonholonomic Constraint ◽

Conserved Quantity ◽

Noether Symmetry

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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 ◽

Cited By ~ 1

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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Conformal invariance and conserved quantities of dynamical system of relative motion

Chinese Physics B ◽

10.1088/1674-1056/18/8/007 ◽

2009 ◽

Vol 18 (8) ◽

pp. 3139-3144 ◽

Cited By ~ 17

Author(s):

Chen Xiang-Wei ◽

Zhao Yong-Hong ◽

Li Yan-Min

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Conformal Invariance ◽

Conserved Quantities

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Mei symmetry and Mei conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type

Acta Physica Sinica ◽

10.7498/aps.61.200203 ◽

2012 ◽

Vol 61 (20) ◽

pp. 200203

Author(s):

Wang Xiao-Xiao ◽

Zhang Mei-Ling ◽

Han Yue-Lin ◽

Jia Li-Qun

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Nonholonomic Constraint ◽

Conserved Quantity ◽

Mei Symmetry

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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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Mei conserved quantity deduced from Mei symmetry of Appell equation in a dynamical system of relative motion

Acta Physica Sinica ◽

10.7498/aps.60.040201 ◽

2011 ◽

Vol 60 (4) ◽

pp. 040201

Author(s):

Luo Shao-Kai ◽

Jia Li-Qun ◽

Xie Yin-Li

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Conserved Quantity ◽

Mei Symmetry

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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 ◽

Cited By ~ 4

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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A new Lie symmetrical method of finding a conserved quantity for a dynamical system in phase space

Acta Mechanica ◽

10.1007/s00707-012-0729-6 ◽

2012 ◽

Vol 223 (12) ◽

pp. 2621-2632 ◽

Cited By ~ 21

Author(s):

Shao-Kai Luo ◽

Zhuang-Jun Li ◽

Lin Li

Keyword(s):

Dynamical System ◽

Phase Space ◽

Conserved Quantity ◽

Symmetrical Method

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