Inverse problem and equivalent contact systems
Mathematical Physics
2022-04-06 v1 math.MP
Abstract
We present several results on the inverse problem and equivalent contactLagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e., reparametrizations of the action). We present the extended contact Lagrangian systems to formalize this notion. With this structure we define horizontal equivalence of Lagrangians, which generalizes the symplectic case. We also present some results on the inverse problem for extended contact systems.
Keywords
Cite
@article{arxiv.2110.04815,
title = {Inverse problem and equivalent contact systems},
author = {Manuel de León and Jordi Gaset and Manuel Lainz Valcázar},
journal= {arXiv preprint arXiv:2110.04815},
year = {2022}
}