Lagrangian reduction of forced discrete mechanical systems

Author:

Matías I. Caruso, Javier Fernández, Cora Tori, Marcela Zuccalli

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), Dynamical Systems (math.DS)

journal:

J. Phys. A: Math. Theor.(2023) 56 355202

date:

2023-07-23 16:00:00

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.

PDF: Lagrangian reduction of forced discrete mechanical systems.pdf