Liouville integrability: An effective Morales–Ramis–Simó theorem-Reference-Cited by-同舟云学术

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Liouville integrability: An effective Morales–Ramis–Simó theorem

Published:2016-05 Issue: Volume:74 Page:537-560
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Aparicio-Monforte A.,Dreyfus T.,Weil J.-A.

Funder

Labex CIMI

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference43 articles.

1. Foundations of Mechanics;Abraham,1978

2. Méthodes effectives pour l'intégrabilité des systèmes hamiltoniens;Aparicio-Monforte,2010

3. Formal first integrals along solutions of differential systems;Aparicio-Monforte,2011

4. A characterization of reduced forms of linear differential systems;Aparicio Monforte;J. Pure Appl. Algebra,2013

5. A reduction method for higher order variational equations of Hamiltonian systems;Aparicio-Monforte,2011

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1. Computing the Lie algebra of the differential Galois group: The reducible case;Journal of Symbolic Computation;2022-09

2. Differential Galois Theory and Integration;Texts & Monographs in Symbolic Computation;2021

3. Galoisian methods for testing irreducibility of order two nonlinear differential equations;Pacific Journal of Mathematics;2018-12-20

4. Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System;Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation;2016-07-20

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