Hamilton-Jacobi equations for nonholonomic dynamics

被引:8
|
作者
Pavon, M [1 ]
机构
[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
关键词
D O I
10.1063/1.1858441
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive generalized Hamilton-Jacobi equations for dynamical systems subject to linear velocity constraints. As long as a solution of the generalized Hamilton-Jacobi equation exists, the action is actually minimized (not just extremized). (C) 2005 American Institute of Physics.
引用
收藏
页数:8
相关论文
共 50 条
  • [21] GEOMETRIC HAMILTON-JACOBI THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS
    Carinena, Jose F.
    Gracia, Xavier
    Marmo, Giuseppe
    Martinez, Eduardo
    Munoz-Lecanda, Miguel C.
    Roman-Roy, Narciso
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2010, 7 (03) : 431 - 454
  • [22] APPLICABILITY OF HAMILTON-JACOBI METHOD TO NONLINEAR NONHOLONOMIC SYSTEMS
    Q.K.Ghori
    Naseer Ahmed
    AppliedMathematicsandMechanics(EnglishEdition), 1988, (10) : 937 - 952
  • [23] Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics
    Barles, Guy
    Perthame, Benoit
    RECENT DEVELOPMENTS IN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, 2007, 439 : 57 - +
  • [24] STOCHASTIC HOMOGENIZATION OF HAMILTON-JACOBI AND "VISCOUS"-HAMILTON-JACOBI EQUATIONS WITH CONVEX NONLINEARITIES - REVISITED
    Lions, Pierre-Louis
    Souganidis, Panagiotis E.
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2010, 8 (02) : 627 - 637
  • [25] Hamilton-Jacobi equations in evolutionary games
    Krasovskiy, N. A.
    Kryazhimskiy, A. V.
    Tarasyev, A. M.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2014, 20 (03): : 114 - 131
  • [26] Minimax solutions to the Hamilton-Jacobi equations
    Subbotin A.I.
    Journal of Mathematical Sciences, 2001, 103 (6) : 772 - 777
  • [27] Hamilton-Jacobi Equations on Graph and Applications
    Yan Shu
    Potential Analysis, 2018, 48 : 125 - 157
  • [28] Hypercontractivity of solutions to Hamilton-Jacobi equations
    Goldys, B
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2001, 51 (04) : 733 - 743
  • [30] Homogenization of pathwise Hamilton-Jacobi equations
    Seeger, Benjamin
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2018, 110 : 1 - 31