Lagrangian reduction of forced discrete mechanical systems

Autor: Caruso, Matías I., Fernández, Javier, Tori, Cora, Zuccalli, Marcela
Rok vydání: 2023
Předmět:
Zdroj: J. Phys. A: Math. Theor.(2023) 56 355202
Druh dokumentu: Working Paper
DOI: 10.1088/1751-8121/aceae3
Popis: 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.
Databáze: arXiv