A unified framework for mechanics. Hamilton-Jacobi equation and applications
Mathematical Physics
2015-05-14 v1 math.MP
Abstract
In this paper, we construct Hamilton-Jacobi equations for a great variety of mechanical systems (nonholonomic systems subjected to linear or affine constraints, dissipative systems subjected to external forces, time-dependent mechanical systems...). We recover all these, in principle, different cases using a unified framework based on skew-symmetric algebroids with a distinguished 1-cocycle. Several examples illustrate the theory.
Keywords
Cite
@article{arxiv.1001.0482,
title = {A unified framework for mechanics. Hamilton-Jacobi equation and applications},
author = {P. Balseiro and J. C. Marrero and D. Martin de Diego and E. Padron},
journal= {arXiv preprint arXiv:1001.0482},
year = {2015}
}
Comments
30 pages, 3 figures