Differential Galois theory and non-integrability of Hamiltonian systems JJM Ruiz, JJM Ruiz
Birkhäuser, 1999
540 1999 Galoisian obstructions to integrability of Hamiltonian systems JJ Morales-Ruiz, JP Ramis
Methods and Applications of Analysis 8 (1), 33-96, 2001
271 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
200 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
108 2001 Galoisian obstructions to integrability of Hamiltonian systems II JJ Morales-Ruiz, JP Ramis
Methods and Applications of Analysis 8 (1), 97-112, 2001
97 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
83 2011 Picard-Vessiot Theory and Ziglin′ s Theorem JJ Morales, C Simó
Journal of differential equations 107 (1), 140-162, 1994
78 1994 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
69 2010 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
64 2005 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
54 1996 Kovalevskaya, Liapounov, Painleve, Ziglin and the Differential Galios Theory JJ Morales-Ruiz
Regular and Chaotic Dynamics 5 (3), 251-272, 2000
49 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
41 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
35 2010 On the meromorphic non-integrability of some -body problems S Simon, J Morales-Ruiz
Discrete and Continuous Dynamical Systems 24 (4), 1225-1273, 2009
33 2009 Picard–Vessiot theory and integrability JJ Morales-Ruiz
Journal of Geometry and Physics 87, 314-343, 2015
31 2015 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
27 2018 Introduction to differential Galois theory T Crespo, Z Hajto, JJM Ruiz
Wydawnictwo PK, 2007
26 2007 Técnicas algebraicas para el estudio de la integrabilidad de sistemas hamiltonianos JJ Morales-Ruiz
Ph. D. Thesis, University of Barcelona, 1989
23 1989 A remark about the Painlevé transcendents JJ Morales-Ruiz
Théories asymptotiques et équations de Painlevé, Sémin. Congr 14, 229-235, 2006
22 2006 Differential Galois theory of algebraic Lie-Vessiot systems D Blázquez-Sanz, JJ Morales-Ruiz
arXiv preprint arXiv:0901.4480, 2009
19 2009