Ainhoa Aparicio-Monforte

activity

20092015

most citedLiouville integrability: an effective Morales-Ramis-Simó theorem

6 citations · 11 across the 2 of their papers we have counts for

collaborators

4 papers

math.CA2015★ 6 cited

Liouville integrability: an effective Morales-Ramis-Simó theorem

Ainhoa Aparicio-Monforte, Thomas Dreyfus, Jacques-Arthur Weil

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 inte…

math.DS2012★ 5 cited

A Reduction Method for Higher Order Variational Equations of Hamiltonian Systems

Ainhoa Aparicio, Jacques-Arthur Weil

Let $k$ be a differential field and let $[A] : Y^{'} = A Y$ be a linear differential system where $A \in Mat (n, k)$ . We say that $A$ is in a reduced form…

math.CA2012

A Characterization of Reduced Forms of Linear Differential Systems

Ainhoa Aparicio-Monforte, Elie Compoint, Jacques-Arthur Weil

A differential system $[A] : Y^{'} = A Y$ , with $A \in Mat (n, k ˉ)$ is said to be in reduced form if $A \in g (k ˉ)$ where $g$ is the Lie algebra o…

math.CA2009

A Reduced Form for Linear Differential Systems and its Application to Integrability of Hamiltonian Systems

Ainhoa Aparicio Monforte, Jacques-Arthur Weil

Let $[A] : Y^{'} = A Y$ with $A \in M_{n} (k)$ be a differential linear system. We say that a matrix $R \in M_{n} (k ˉ)$ is a {\em reduced form} of $[A]$ if $R\in \mathfrak…