Liouville integrability: an effective Morales-Ramis-Sim\'o theorem
Classical Analysis and ODEs
2021-08-25 v2
Abstract
Consider a complex Hamiltonian system and an integral curve. In this paper, we give an effective and efficient procedure to put the variational equation of any order along the integral curve in reduced form provided that the previous one is in reduced form with an abelian Lie algebra. Thus, we obtain an effective way to check the Morales-Ramis-Sim\'o criterion for testing meromorphic Liouville integrability of Hamiltonian systems.
Keywords
Cite
@article{arxiv.1505.02808,
title = {Liouville integrability: an effective Morales-Ramis-Sim\'o theorem},
author = {Ainhoa Aparicio-Monforte and Thomas Dreyfus and Jacques-Arthur Weil},
journal= {arXiv preprint arXiv:1505.02808},
year = {2021}
}
Comments
29 pages