Ikuti
Juan J. Morales-Ruiz
Juan J. Morales-Ruiz
Professor of Mathematics Universidad Politécnica de Madrid
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Dikutip oleh
Dikutip oleh
Tahun
Differential Galois theory and non-integrability of Hamiltonian systems
JJM Ruiz, JJM Ruiz
Birkhäuser, 1999
5401999
Galoisian obstructions to integrability of Hamiltonian systems
JJ Morales-Ruiz, JP Ramis
Methods and Applications of Analysis 8 (1), 33-96, 2001
2712001
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
2002007
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
1082001
Galoisian obstructions to integrability of Hamiltonian systems II
JJ Morales-Ruiz, JP Ramis
Methods and Applications of Analysis 8 (1), 97-112, 2001
972001
Galoisian approach to integrability of Schrödinger equation
PB Acosta-Humánez, JJ Morales-Ruiz, JA Weil
Reports on Mathematical Physics 67 (3), 305-374, 2011
832011
Picard-Vessiot Theory and Ziglin′ s Theorem
JJ Morales, C Simó
Journal of differential equations 107 (1), 140-162, 1994
781994
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
692010
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
642005
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
541996
Kovalevskaya, Liapounov, Painleve, Ziglin and the Differential Galios Theory
JJ Morales-Ruiz
Regular and Chaotic Dynamics 5 (3), 251-272, 2000
492000
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
411999
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
352010
On the meromorphic non-integrability of some -body problems
S Simon, J Morales-Ruiz
Discrete and Continuous Dynamical Systems 24 (4), 1225-1273, 2009
332009
Picard–Vessiot theory and integrability
JJ Morales-Ruiz
Journal of Geometry and Physics 87, 314-343, 2015
312015
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
272018
Introduction to differential Galois theory
T Crespo, Z Hajto, JJM Ruiz
Wydawnictwo PK, 2007
262007
Técnicas algebraicas para el estudio de la integrabilidad de sistemas hamiltonianos
JJ Morales-Ruiz
Ph. D. Thesis, University of Barcelona, 1989
231989
A remark about the Painlevé transcendents
JJ Morales-Ruiz
Théories asymptotiques et équations de Painlevé, Sémin. Congr 14, 229-235, 2006
222006
Differential Galois theory of algebraic Lie-Vessiot systems
D Blázquez-Sanz, JJ Morales-Ruiz
arXiv preprint arXiv:0901.4480, 2009
192009
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