Unified formalism for the generalized kth-order Hamilton-Jacobi problem
Mathematical Physics
2014-10-24 v2 math.MP
Abstract
The geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unified Lagrangian-Hamiltonian formalism for the geometric Hamilton-Jacobi theory on higher-order autonomous dynamical systems described by regular Lagrangian functions.
Cite
@article{arxiv.1310.1071,
title = {Unified formalism for the generalized kth-order Hamilton-Jacobi problem},
author = {Leonardo Colombo and Manuel de León and Pedro D. Prieto-Martínez and Narciso Román-Roy},
journal= {arXiv preprint arXiv:1310.1071},
year = {2014}
}
Comments
9pp. Revised version: Minor corrections done. Second part of our previous work arXiv:1309.2166. arXiv admin note: substantial text overlap with arXiv:1309.2166