Galoisian obstructions to non-Hamiltonian integrability
Dynamical Systems
2009-01-30 v1
Abstract
We show that the main theorem of Morales--Ramis--Simo about Galoisian obstructions to meromorphic integrability of Hamiltonian systems can be naturally extended to the non-Hamiltonian case. Namely, if a dynamical system is meromorphically integrable in the non-Hamiltonian sense, then the differential Galois groups of the variational equations (of any order) along its solutions must be virtually Abelian
Keywords
Cite
@article{arxiv.0901.4586,
title = {Galoisian obstructions to non-Hamiltonian integrability},
author = {Michael Ayoul and Nguyen Tien Zung},
journal= {arXiv preprint arXiv:0901.4586},
year = {2009}
}
Comments
5 pages