Perturbation to Symmetries and Adiabatic Invariants of Nonholonomic Dynamical System of Relative Motion

Communications in Theoretical Physics ◽

10.1088/0253-6102/43/4/001 ◽

2005 ◽

Vol 43 (4) ◽

pp. 577-581 ◽

Author(s):

Chen Xiang-Wei ◽

Wang Ming-Quan ◽

Wang Xin-Min

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Adiabatic Invariants ◽

Nonholonomic Dynamical System

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Integrating Factors and Conservation Theorems of Nonholonomic Dynamical System of Relative Motion

Communications in Theoretical Physics ◽

10.1088/0253-6102/47/2/006 ◽

2007 ◽

Vol 47 (2) ◽

pp. 217-220 ◽

Author(s):

Qiao Yong-Fen ◽

Zhao Shu-Hong ◽

Li Ren-Jie

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Integrating Factors ◽

Nonholonomic Dynamical System

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Exact invariants and adiabatic invariants of dynamical system of relative motion

Chinese Physics ◽

10.1088/1009-1963/13/12/005 ◽

2004 ◽

Vol 13 (12) ◽

pp. 2003-2007 ◽

Author(s):

Chen Xiang-Wei ◽

Wang Xin-Min ◽

Wang Ming-Quan

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Adiabatic Invariants

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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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Poisson theory and integration method for a dynamical system of relative motion

Chinese Physics B ◽

10.1088/1674-1056/20/2/024501 ◽

2011 ◽

Vol 20 (2) ◽

pp. 024501 ◽

Author(s):

Yi Zhang ◽

Mei Shang

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Integration Method

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The Method of Variation of Parameters for Solving a Dynamical System of Relative Motion

Chinese Physics Letters ◽

10.1088/0256-307x/28/10/104501 ◽

2011 ◽

Vol 28 (10) ◽

pp. 104501

Author(s):

Yi Zhang

Keyword(s):

Dynamical System ◽

Relative Motion ◽

Variation Of Parameters

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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 ◽

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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What is a completely integrable nonholonomic dynamical system?

Reports on Mathematical Physics ◽

10.1016/s0034-4877(99)80142-6 ◽

1999 ◽

Vol 44 (1-2) ◽

pp. 29-35 ◽

Author(s):

Larry Bates ◽

Richard Cushman

Keyword(s):

Dynamical System ◽

Completely Integrable ◽

Nonholonomic Dynamical System

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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 ◽

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 ◽

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