Lagrangian reduction of forced discrete mechanical systems
Differential Geometry
2023-08-30 v1 Dynamical Systems
Abstract
In this paper we propose a process of Lagrangian reduction and reconstruction for symmetric discrete-time mechanical systems acted on by external forces, where the symmetry group action on the configuration manifold turns it into a principal bundle. We analyze the evolution of momentum maps and Poisson structures under different conditions.
Keywords
Cite
@article{arxiv.2307.13167,
title = {Lagrangian reduction of forced discrete mechanical systems},
author = {Matías I. Caruso and Javier Fernández and Cora Tori and Marcela Zuccalli},
journal= {arXiv preprint arXiv:2307.13167},
year = {2023}
}