Discrete Mechanical Systems in a Dirac Setting: a Proposal
Differential Geometry
2024-08-19 v1 Dynamical Systems
Abstract
In these notes, we present an alternative version of discrete Dirac mechanics using Dirac structures. We first establish a notion of 'continuous Dirac system' and then propose a definition of discrete Dirac system, proving that it is possible to recover discrete Lagrangian and Hamiltonian systems as particular cases. We also note that this approach allows for kinematic as well as variational constraints.
Cite
@article{arxiv.2203.05600,
title = {Discrete Mechanical Systems in a Dirac Setting: a Proposal},
author = {Matías I. Caruso and Javier Fernández and Cora Tori and Marcela Zuccalli},
journal= {arXiv preprint arXiv:2203.05600},
year = {2024}
}