Some tastings in Morales-Ramis Theory
Classical Analysis and ODEs
2018-10-22 v1 Dynamical Systems
Rings and Algebras
Abstract
In this paper we present a short material concerning to some results in Morales-Ramis theory, which relates two different notions of integrability: Integrability of Hamiltonian Systems through Liouville Arnold Theorem and Integrability of Linear Differential Equations through Differential Galois Theory. As contribution, we obtain the abelian differential Galois group of the variational equation related to a bi-parametric Hamiltonian system,
Keywords
Cite
@article{arxiv.1810.08539,
title = {Some tastings in Morales-Ramis Theory},
author = {Primitivo Belén Acosta-Humánez and Germán Jiménez Blanco},
journal= {arXiv preprint arXiv:1810.08539},
year = {2018}
}
Comments
Short paper (8 pages)