Dynamics of rational symplectic mappings and difference Galois theory
Dynamical Systems
2009-04-06 v1
Abstract
In this paper we study the relationship between the integrability of rational symplectic maps and difference Galois theory. We present a Galoisian condition, of Morales-Ramis type, ensuring the non-integrability of a rational symplectic map in the non-commutative sense (Mishchenko-Fomenko). As a particular case, we obtain a com- plete discrete analogue of Morales-Ramis Theorems for non-integrabi- lity in the sense of Liouville.
Cite
@article{arxiv.0803.3951,
title = {Dynamics of rational symplectic mappings and difference Galois theory},
author = {Guy Casale and Julien Roques},
journal= {arXiv preprint arXiv:0803.3951},
year = {2009}
}