Differential Galois theory and non-integrability of Hamiltonian systems JJM Ruiz, JJM Ruiz Birkhäuser, 1999 | 513 | 1999 |
Galoisian obstructions to integrability of Hamiltonian systems JJ Morales-Ruiz, JP Ramis Methods and Applications of Analysis 8 (1), 33-96, 2001 | 260 | 2001 |
Integrability of Hamiltonian systems and differential Galois groups of higher variational equations JJ Morales-Ruiz, JP Ramis, C Simó Annales scientifiques de l’Ecole normale supérieure 40 (6), 845-884, 2007 | 189 | 2007 |
A note on the non-integrability of some Hamiltonian systems with a homogeneous potential JJ Morales-Ruiz, JP Ramis Methods and applications of analysis 8 (1), 113-120, 2001 | 106 | 2001 |
Galoisian obstructions to integrability of Hamiltonian systems, II JJ Morales-Ruiz, JP Ramis Methods and Applications of Analysis 8 (1), 97-112, 2001 | 94 | 2001 |
Galoisian approach to integrability of Schrödinger equation PB Acosta-Humánez, JJ Morales-Ruiz, JA Weil Reports on Mathematical Physics 67 (3), 305-374, 2011 | 80 | 2011 |
Picard-Vessiot Theory and Ziglin′ s Theorem JJ Morales, C Simó Journal of differential equations 107 (1), 140-162, 1994 | 76 | 1994 |
Algebraic proof of the non-integrability of Hill's problem JJ Morales-Ruiz, C Simó, S Simon Ergodic theory and dynamical systems 25 (4), 1237-1256, 2005 | 62 | 2005 |
Integrability of dynamical systems through differential Galois theory: a practical guide JJ Morales-Ruiz, JP Ramis Differential algebra, complex analysis and orthogonal polynomials 509, 143-220, 2010 | 60 | 2010 |
Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations JJ Morales-Ruiz, C Simó journal of differential equations 129 (1), 111-135, 1996 | 55 | 1996 |
Kovalevskaya, Liapounov, Painleve, Ziglin and the Differential Galios Theory JJ Morales-Ruiz Regular and Chaotic Dynamics 5 (3), 251-272, 2000 | 47 | 2000 |
On a Galoisian approach to the splitting of separatrices JJ Morales-Ruiz, JM Peris Annales de la Faculté des sciences de Toulouse: Mathématiques 8 (1), 125-141, 1999 | 40 | 1999 |
On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory PB Acosta-Humánez, JT Lázaro-Ochoa, JJ Morales-Ruiz, C Pantazi arXiv preprint arXiv:1012.4796, 2010 | 33 | 2010 |
On the meromorphic non-integrability of some N-body problems JJ Morales-Ruiz, S Simon Proceedings of the Carles Simó Fest, to appear in a Special Issue of …, 2009 | 32 | 2009 |
Picard–Vessiot theory and integrability JJ Morales-Ruiz Journal of Geometry and Physics 87, 314-343, 2015 | 28 | 2015 |
Introduction to differential Galois theory T Crespo, Z Hajto, JJM Ruiz Wydawnictwo PK, 2007 | 27 | 2007 |
Differential Galois theory and non-integrability of planar polynomial vector fields PB Acosta-Humánez, JT Lázaro, JJ Morales-Ruiz, C Pantazi Journal of Differential Equations 264 (12), 7183-7212, 2018 | 24 | 2018 |
Técnicas algebraicas para el estudio de la integrabilidad de sistemas hamiltonianos JJ Morales-Ruiz Ph. D. Thesis, University of Barcelona, 1989 | 21 | 1989 |
A remark about the Painlevé transcendents JJ Morales-Ruiz Théories asymptotiques et équations de Painlevé, Sémin. Congr 14, 229-235, 2006 | 20 | 2006 |
Differential Galois theory of algebraic Lie-Vessiot systems D Blázquez-Sanz, JJ Morales-Ruiz Differential Algebra, Complex Analysis and Orthogonal Polynomials, Contemp …, 2010 | 19 | 2010 |