LINEAR ALMOST POISSON STRUCTURES AND HAMILTON-JACOBI EQUATION. APPLICATIONS TO NONHOLONOMIC MECHANICS

被引:66
|
作者
de Leon, Manuel [1 ]
Carlos Marrero, Juan [2 ]
Martin de Diego, David [1 ]
机构
[1] CSIC UAM UC3M UCM, Inst Ciencias Matemat, Madrid 28006, Spain
[2] Univ La Laguna, Fac Matemat, Dept Matemat Fundamental, ULL CSIC Geometria Diferencial & Mecan Geometria, Tenerife, Canary Islands, Spain
来源
JOURNAL OF GEOMETRIC MECHANICS | 2010年 / 2卷 / 02期
关键词
Hamilton-Jacobi equation; linear almost Poisson structure; almost differential; skew-symmetric algebroid; orbit theorem; Hamiltonian morphism; nonholonomic mechanical system; LIE ALGEBROIDS; SYSTEMS; DYNAMICS; SYMMETRY; REDUCTION;
D O I
10.3934/jgm.2010.2.159
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:159 / 198
页数:40
相关论文
共 50 条
  • [1] NONHOLONOMIC HAMILTON-JACOBI EQUATION AND INTEGRABILITY
    Ohsawa, Tomoki
    Bloch, Anthony M.
    JOURNAL OF GEOMETRIC MECHANICS, 2009, 1 (04): : 461 - 481
  • [2] A unified framework for mechanics: Hamilton-Jacobi equation and applications
    Balseiro, P.
    Marrero, J. C.
    Martin de Diego, D.
    Padron, E.
    NONLINEARITY, 2010, 23 (08) : 1887 - 1918
  • [3] THE HAMILTON-JACOBI EQUATION, INTEGRABILITY, AND NONHOLONOMIC SYSTEMS
    Bates, Larry M.
    Fasso, Francesco
    Sansonetto, Nicola
    JOURNAL OF GEOMETRIC MECHANICS, 2014, 6 (04): : 441 - 449
  • [4] On the lax solution to the Hamilton-Jacobi equation. Part I
    Prykarpatsky A.K.
    Blackmore D.L.
    Journal of Mathematical Sciences, 2000, 99 (5) : 1541 - 1547
  • [5] QUANTUM MECHANICS + RELATIVISTIC HAMILTON-JACOBI EQUATION
    MOTZ, L
    SELZER, A
    PHYSICAL REVIEW B, 1964, 133 (6B): : 1622 - &
  • [6] On almost-Poisson structures in nonholonomic mechanics
    Cantrijn, F
    de León, M
    de Diego, DM
    NONLINEARITY, 1999, 12 (03) : 721 - 737
  • [8] HAMILTON-JACOBI EQUATION
    ROSENBLO.PC
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1971, 43 (04) : 245 - &
  • [9] Hamilton-Jacobi fractional mechanics
    Rabei, Eqab M.
    Ababneh, Bashar S.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (02) : 799 - 805
  • [10] A piecewise linear minimax solution of the Hamilton-Jacobi equation
    Shagalova, LG
    NONSMOOTH AND DISCONTINUOUS PROBLEMS OF CONTROL AND OPTIMIZATION (NDPCO'98), 1999, : 193 - 197