J. Morales-Ruiz

发表

Integrability of dynamical systems through differential Galois theory : a practical guide

J. Ramis, J. Morales-Ruiz, 2009 .

Differential Galois Theory and Lie Symmetries

Jacques-Arthur Weil, J. Morales-Ruiz, David Bl'azquez-Sanz, 2015, 1503.09023.

Algebro-geometric solitonic solutions and Differential Galois Theory

Sonia L. Rueda, J. Morales-Ruiz, M. Zurro, 2017, 1708.00431.

Kovalevskaya, Liapounov, Painlevé, Ziglin and the Differential Galois Theory

J. Morales-Ruiz, 2003 .

Galoisian Approach to integrability of Schrodinger Equation

Jacques-Arthur Weil, J. Morales-Ruiz, P. Acosta-Hum'anez, 2010, 1008.3445.

On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory

Chara Pantazi, J. Morales-Ruiz, P. Acosta-Humánez, 2014 .

On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory

Chara Pantazi, J. Morales-Ruiz, P. Acosta-Hum'anez, 2010, 1012.4796.

ON THE DYNAMICAL MEANING OF THE PICARD-VESSIOT THEORY

J. M. Peris, J. Morales-Ruiz, 2001 .

Picard–Vessiot theory and integrability

J. Morales-Ruiz, 2015 .

A Note on the Non-Integrability of Some Hamilitonian Systems with a Homogeneous Potential

J. Ramis, J. Morales-Ruiz, 2001 .

Differential Galois theory and non-integrability of planar polynomial vector fields

Chara Pantazi, J. Morales-Ruiz, P. Acosta-Humánez, 2017, Journal of Differential Equations.

Integrability of hamiltonian systems and differential Galois groups of higher variational equations

C. Simó, J. Ramis, J. Morales-Ruiz, 2007 .

Differential Galois Theory of Algebraic Lie-Vessiot Systems ∗

J. Morales-Ruiz, David Bl'azquez-Sanz, 2009, 0901.4480.

Lie's Reduction Method and Differential Galois Theory in the Complex Analytic Context ∗

J. Morales-Ruiz, David Bl'azquez-Sanz, 2009, 0901.4479.

GALOISIAN OBSTRUCTIONS TO INTEGRABILITY OF HAMILTONIAN SYSTEMS: STATEMENTS AND EXAMPLES

J. Ramis, J. Morales-Ruiz, 1999 .

GALOISIAN OBSTRUCTIONS TO INTEGRABILITY OF HAMILTONIAN SYSTEMS II ∗

J. Ramis, J. Morales-Ruiz, JUAN J. MORALES-RUIZ, 2001 .

A Reduction Method for Higher Order Variational Equations of Hamiltonian Systems

D. Blázquez-Sanz, J. Morales-Ruiz, Jesús Rodríguez Lombardero, 2011 .

Rational KdV Potentials and Differential Galois Theory

J. Morales-Ruiz, M. Zurro, S. Jiménez, 2018, Symmetry, Integrability and Geometry: Methods and Applications.

Factorization of KdV Schrödinger operators using differential subresultants

Sonia L. Rueda, Juan J. Morales-Ruiz, Maria-Angeles Zurro, 2019, Adv. Appl. Math..

Non-integrability of the axisymmetric Bianchi IX cosmological model via Differential Galois Theory

Juan J. Morales-Ruiz, Teresinha J. Stuchi, Primitivo Acosta-Hum'anez, 2021, 2102.10108.

ON THE MEROMORPHIC NON-INTEGRABILITY OF SOME N-BODY PROBLEMS

J. Morales-Ruiz, S. Simon, 2009 .

Local and Global Aspects of Lie's Superposition Theorem

J. Morales-Ruiz, David Bl'azquez-Sanz, 2009, 0901.4478.

Local and Global Aspects of Lie Superposition Theorem

D. Blázquez-Sanz, J. Morales-Ruiz, 2010 .

Algebraic proof of the non-integrability of Hill's problem

C. Simó, J. Morales-Ruiz, S. Simon, 2005, Ergodic Theory and Dynamical Systems.

A note on the geodesic deviation equation for null geodesics in the Schwarzschild black-hole

J. Morales-Ruiz, 'Alvaro P. Raposo, 2023, 2308.07098.

Semiclassical quantification of some two degree of freedom potentials: a Differential Galois approach

J. Morales-Ruiz, C. Pantazi, P. B. Acosta-Hum'anez, 2023, 2307.09318.

Meromorphic nonintegrability of Hamiltonian systems

J. Morales-Ruiz, 2001 .

On a Galoisian approach to the splitting of separatrices

J. M. Peris, J. Morales-Ruiz, 1999 .

Differential Galois theory and Darboux transformations for Integrable Systems

J. Morales-Ruiz, M. Zurro, S. Jiménez, 2017 .

A differential Galois approach to path integrals

J. Morales-Ruiz, 2019, 1910.06365.

NON-INTEGRABILITY CRITERIA FOR HAMILTONIANS IN THE CASE OF LAME NORMAL VARIATIONAL EQUATIONS

C. Simó, J. Morales-Ruiz, 1996 .

Integrability of stochastic birth-death processes via differential Galois theory

J. Morales-Ruiz, P. Acosta-Humánez, J. A. Capitán, 2019, Mathematical Modelling of Natural Phenomena.