Noether-Lie symmetry and conserved quantities of Nielsen equations for a singular variable mass nonholonomic system with unilateral constraints

Xu Chao;  Li Yuan-Cheng

doi:10.7498/aps.62.171101

Noether-Lie symmetry and conserved quantities of Nielsen equations for a singular variable mass nonholonomic system with unilateral constraints

Acta Physica Sinica ◽

10.7498/aps.62.171101 ◽

2013 ◽

Vol 62 (17) ◽

pp. 171101

Author(s):

Xu Chao ◽

Li Yuan-Cheng

Keyword(s):

Nonholonomic System ◽

Variable Mass ◽

Lie Symmetry ◽

Conserved Quantities ◽

Unilateral Constraints

Download Full-text

The Lie symmetries and conserved quantities of variable-mass nonholonomic system of non-Chetaev's type in phase space

Applied Mathematics and Mechanics ◽

10.1007/bf02437670 ◽

2002 ◽

Vol 23 (10) ◽

pp. 1215-1220 ◽

Cited By ~ 5

Author(s):

Fang Jian-hui ◽

Zhao Song-qing ◽

Jiao Zhi-yong

Keyword(s):

Phase Space ◽

Nonholonomic System ◽

Variable Mass ◽

Lie Symmetries ◽

Conserved Quantities

Download Full-text

Mei Symmetry and New Conserved Quantities of Tzénoff Equations for the Variable Mass Higher-Order Nonholonomic System

Chinese Physics Letters ◽

10.1088/0256-307x/29/2/020201 ◽

2012 ◽

Vol 29 (2) ◽

pp. 020201

Author(s):

Shi-Wang Zheng ◽

Jian-Bo Wang ◽

Xiang-Wei Chen ◽

Jia-Fang Xie

Keyword(s):

Nonholonomic System ◽

Variable Mass ◽

Higher Order ◽

Conserved Quantities ◽

Mei Symmetry

Download Full-text

Non-Noether Conserved Quantity of Nonholonomic System Having Variable Mass and Unilateral Constraints

Communications in Theoretical Physics ◽

10.1088/0253-6102/42/6/801 ◽

2004 ◽

Vol 42 (6) ◽

pp. 801-804 ◽

Cited By ~ 9

Author(s):

Qiao Yong-Fen ◽

Li Ren-Jie ◽

Ma Yong-Sheng

Keyword(s):

Nonholonomic System ◽

Variable Mass ◽

Conserved Quantity ◽

Unilateral Constraints

Download Full-text

Lie symmetry and non-Noether conserved quantities of variable mass Birkhoffian system

Acta Physica Sinica ◽

10.7498/aps.55.3813 ◽

2006 ◽

Vol 55 (8) ◽

pp. 3813

Author(s):

Zhang Peng-Yu ◽

Fang Jian-Hui

Keyword(s):

Variable Mass ◽

Lie Symmetry ◽

Conserved Quantities ◽

Birkhoffian System

Download Full-text

Lie symmetries and conserved quantities of Birkhoff systems with unilateral constraints

Chinese Physics ◽

10.1088/1009-1963/11/8/303 ◽

2002 ◽

Vol 11 (8) ◽

pp. 765-770 ◽

Cited By ~ 17

Author(s):

Zhang Hong-Bin ◽

Gu Shu-Long

Keyword(s):

Lie Symmetries ◽

Conserved Quantities ◽

Unilateral Constraints

Download Full-text

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

Download Full-text

Conformal invariance and conserved quantities of a general holonomic system with variable mass

Chinese Physics B ◽

10.1088/1674-1056/19/4/040302 ◽

2010 ◽

Vol 19 (4) ◽

pp. 040302 ◽

Cited By ~ 4

Author(s):

Xia Li-Li ◽

Cai Jian-Le

Keyword(s):

Conformal Invariance ◽

Variable Mass ◽

Conserved Quantities ◽

Holonomic System

Download Full-text

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 ◽

Cited By ~ 3

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

Download Full-text

Conformal invariance for nonholonomic system of Chetaev’s type with variable mass

Applied Mathematics and Mechanics ◽

10.1007/s10483-012-1631-7 ◽

2012 ◽

Vol 33 (11) ◽

pp. 1393-1402 ◽

Cited By ~ 3

Author(s):

Wei-li Huang ◽

Jian-le Cai

Keyword(s):

Conformal Invariance ◽

Nonholonomic System ◽

Variable Mass

Download Full-text

Form Invariance and Conserved Quantity for Non-holonomic Systems with Variable Mass and Unilateral Constraints

Communications in Theoretical Physics ◽

10.1088/0253-6102/47/2/005 ◽

2007 ◽

Vol 47 (2) ◽

pp. 213-216 ◽

Cited By ~ 2

Author(s):

Wang Jing ◽

Li Yuan-Cheng ◽

Hou Qi-Bao ◽

Xia Li-Li

Keyword(s):

Variable Mass ◽

Conserved Quantity ◽

Unilateral Constraints ◽

Form Invariance ◽

Holonomic Systems

Download Full-text