Galois differential algebras and categorical discretization of dynamical systems
Mathematical Physics
2015-05-13 v2 Dynamical Systems
math.MP
Abstract
A categorical theory for the discretization of a large class of dynamical systems with variable coefficients is proposed. It is based on the existence of covariant functors between the Rota category of Galois differential algebras and suitable categories of abstract dynamical systems. The integrable maps obtained share with their continuous counterparts a large class of solutions and, in the linear case, the Picard-Vessiot group.
Keywords
Cite
@article{arxiv.1407.6176,
title = {Galois differential algebras and categorical discretization of dynamical systems},
author = {Piergiulio Tempesta},
journal= {arXiv preprint arXiv:1407.6176},
year = {2015}
}
Comments
19 pages (examples added)