Implicit Contact Dynamics and Hamilton-Jacobi Theory
Symplectic Geometry
2021-10-01 v1 Mathematical Physics
math.MP
Abstract
In this paper we propose a Hamilton-Jacobi theory for implicit contact Hamiltonian systems in two different ways. One is the understanding of implicit contact Hamiltonian dynamics as a Legendrian submanifold of the tangent contact space, and another is as a Lagrangian submanifold of a certain symplectic space embedded into the tangent contact space. In these two scenarios, we propose a Hamilton-Jacobi theory specifically derived with the aid of Herglotz Lagrangian dynamics generated by non-regular Lagrangian functions.
Keywords
Cite
@article{arxiv.2109.14921,
title = {Implicit Contact Dynamics and Hamilton-Jacobi Theory},
author = {Oğul Esen and Manuel Lainz Valcázar and Manuel de León and Cristina Sardón},
journal= {arXiv preprint arXiv:2109.14921},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2108.06519