Non-standard Construction of Hamiltonian Structures and of the Hamilton-Jacobi equation
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
Examples of non-standard construction of Hamiltonian structures for dynamical systems and the respective Hamilton-Jacobi (H-J) equations, without using Lagrangians, are presented. Alternative H-J equations for Euler top are explicitly exhibited and solved. We demonstrate that some stability criterion, relating the slope of a Casimir function parametrized by the Lagrange multiplier to critical point type, depends on the used Hamiltonian structure and it is inadequate for this reason.
Keywords
Cite
@article{arxiv.math-ph/0008019,
title = {Non-standard Construction of Hamiltonian Structures and of the Hamilton-Jacobi equation},
author = {M. Herrera and S. A. Hojman},
journal= {arXiv preprint arXiv:math-ph/0008019},
year = {2007}
}
Comments
13 pages, TeX