Geometric Hamilton-Jacobi theory for higher-order autonomous systems
Mathematical Physics
2014-05-27 v2 math.MP
Abstract
The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton-Jacobi equations in these formalisms and apply our results to analyze some particular physical examples.
Keywords
Cite
@article{arxiv.1309.2166,
title = {Geometric Hamilton-Jacobi theory for higher-order autonomous systems},
author = {Leonardo Colombo and Manuel de León and Pedro Daniel Prieto-Martínez and Narciso Román-Roy},
journal= {arXiv preprint arXiv:1309.2166},
year = {2014}
}
Comments
26 pp. Revised version: Minor corrections done. References updated