English

Generalized Hamilton-Jacobi equations for nonholonomic dynamics

Mathematical Physics 2009-11-10 v1 math.MP

Abstract

Employing a suitable nonlinear Lagrange functional, 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).

Keywords

Cite

@article{arxiv.math-ph/0406008,
  title  = {Generalized Hamilton-Jacobi equations for nonholonomic dynamics},
  author = {Michele Pavon},
  journal= {arXiv preprint arXiv:math-ph/0406008},
  year   = {2009}
}