Conformal invariance and conserved quantity of Mei symmetry for Appell equations in nonholonomic systems of Chetaev's type with variable mass

被引：2
|
作者：
Zhang Fang [1 ]
Li Wei [2 ]
Zhang Yao-Yu [1 ]
Xue Xi-Chang [1 ]
Jia Li-Qun [3 ]
机构：
[1] Pingdingshan Univ, Coll Elect & Informat Engn, Pingdingshan 467002, Peoples R China
[2] Henan Univ Urban Construct, Sch Math & Phys, Pingdingshan 467002, Peoples R China
[3] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
来源：
ACTA PHYSICA SINICA | 2014年 / 63卷 / 16期
基金：
中国国家自然科学基金;
关键词：
variable mass; nonholonomic systems of Chetaev's type; Appell equation; conformal invariance; HOLONOMIC MECHANICAL SYSTEMS; LIE SYMMETRY; NOETHER SYMMETRY; DYNAMICAL-SYSTEM; EVENT SPACE;
D O I：
10.7498/aps.63.164501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Conformal invariance and conserved quantity of Mei symmetry for Appell equations of nonholonomic system of Chetaev's type with variable mass are studied. The conformal invariance and Mei symmetry for Appell equations of nonholonomic systems of Chetaev's type with variable mass are defined under the infinitesimal transformation of group, and the determining equations of conformal invariance of Mei symmetry for the system are given. Then, the expression of the corresponding conserved quantity of the system is derived. Finally, an example is given to illustrate the application of the results.
引用
收藏
页数：6
相关论文
共 30 条
  • [1] Cai JL, 2008, CHINESE PHYS B, V17, P3170, DOI 10.1088/1674-1056/17/9/002
  • [2] Conformal invariance and conserved quantity of Mei symmetry for the nonholonomic system of Chetaev's type
    Cai Jian-Le
    Shi Sheng-Shui
    [J]. ACTA PHYSICA SINICA, 2012, 61 (03)
  • [3] Conformal invariance for the nonholonomic constrained mechanical system of non-Chetaev's type
    Cai, Jian-Le
    Shi, Sheng-Shui
    Fang, Hua-Ji
    Xu, Jie
    [J]. MECCANICA, 2012, 47 (01) : 63 - 69
  • [4] Conformal invariance of Mei symmetry for the non-holonomic systems of non-Chetaev's type
    Cai, Jianle
    [J]. NONLINEAR DYNAMICS, 2012, 69 (1-2) : 487 - 493
  • [5] Conformal invariance and conserved quantity for holonomic mechanical systems with variable mass
    Chen Xiang-Wei
    Zhao Yong-Hong
    Liu Chang
    [J]. ACTA PHYSICA SINICA, 2009, 58 (08) : 5150 - 5154
  • [6] Conformal invariance and conserved quantities of dynamical system of relative motion
    Chen Xiang-Wei
    Zhao Yong-Hong
    Li Yan-Min
    [J]. CHINESE PHYSICS B, 2009, 18 (08) : 3139 - 3144
  • [7] GALIULLIN AS, 1997, ANAL DYNAMICS HELMHO, P183
  • [8] LIE SYMMETRY AND APPROXIMATE HOJMAN CONSERVED QUANTITY OF LAGRANGE EQUATIONS FOR A WEAKLY NONHOLONOMIC SYSTEM
    Han, Y-L
    Wang, X-X
    Zhang, M-L
    Jia, L-Q
    [J]. JOURNAL OF MECHANICS, 2014, 30 (01) : 21 - 27
  • [9] Conformal invariance and conserved quantity of Mei symmetry for Appell equations in holonomic system
    Han Yue-Lin
    Sun Xian-Ting
    Zhang Yao-Yu
    Jia Li-Qun
    [J]. ACTA PHYSICA SINICA, 2013, 62 (16)
  • [10] A type of the new exact and approximate conserved quantity deduced from Mei symmetry for a weakly nonholonomic system
    Han Yue-Lin
    Wang Xiao-Xiao
    Zhang Mei-Ling
    Jia Li-Qun
    [J]. ACTA PHYSICA SINICA, 2013, 62 (11)
123