Groupoids,Discrete Mechanics,and Discrete Variation

被引:0
|
作者
GUO Jia-Feng JIA Xiao-Yu WU Ke ZHAO Wei-Zhong School of Mathematical Science
机构
基金
中国国家自然科学基金;
关键词
groupoids; Lie algebroids; discrete field; discrete variational principle;
D O I
暂无
中图分类号
O411 [物理学的数学方法];
学科分类号
0701 ;
摘要
After introducing some of the basic definitions and results from the theory of groupoid and Lie algebroid,we investigate the discrete Lagrangian mechanics from the viewpoint of groupoid theory and give the connection betweengroupoids variation and the methods of the first and second discrete variational principles.
引用
收藏
页码:545 / 550
页数:6
相关论文
共 50 条
  • [1] Groupoids, discrete mechanics, and discrete variation
    Guo Jia-Feng
    Jia Xiao-Yu
    Wu Ke
    Zhao Wei-Zhong
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (03) : 545 - 550
  • [2] Discrete Lagrangian and Hamiltonian mechanics on Lie groupoids
    Marrero, Juan C.
    de Diego, David Martin
    Martinez, Eduardo
    [J]. NONLINEARITY, 2006, 19 (06) : 1313 - 1348
  • [3] Symplectic groupoids and discrete constrained Lagrangian mechanics
    Carlos Marrero, Juan
    Martin de Diego, David
    Stern, Ari
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (01) : 367 - 397
  • [4] Discrete total variation calculus and Lee's discrete mechanics
    Chen, Jing-Bo
    Guo, Han-Ying
    Wu, Ke
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (01) : 226 - 234
  • [5] DISCRETE HAMILTON-PONTRYAGIN MECHANICS AND GENERATING FUNCTIONS ON LIE GROUPOIDS
    Stern, Ari
    [J]. JOURNAL OF SYMPLECTIC GEOMETRY, 2010, 8 (02) : 225 - 238
  • [6] A CRITERION FOR HYPERSYMMETRY ON DISCRETE GROUPOIDS
    Flores, F.
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2023, 108 (02) : 320 - 330
  • [7] Discrete Lagrangian and Hamiltonian mechanics on Lie groupoids (vol 19, pg 1313, 2006)
    Marrero, J. C.
    De Diego, D. Martin
    Martinez, E.
    [J]. NONLINEARITY, 2006, 19 (12) : 3003 - 3004
  • [8] SOFIC DIMENSION FOR DISCRETE MEASURED GROUPOIDS
    Dykema, Ken
    Kerr, David
    Pichot, Mikael
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 366 (02) : 707 - 748
  • [9] DISCRETE GRADIENTS IN DISCRETE CLASSICAL MECHANICS
    RENNA, L
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1987, 26 (07) : 685 - 695
  • [10] DISCRETE MECHANICS
    GREENSPA.D
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (04): : 680 - &