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Morales-Ruiz, Juan José

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Author ID: morales-ruiz.juan-jose Recent zbMATH articles by "Morales-Ruiz, Juan José"
Published as: Morales-Ruiz, Juan J.; Morales-Ruiz, Juan José; Morales Ruiz, Juan J.; Morales-Ruiz, J. J.
External Links: MGP · ORCID · Wikidata · GND
Documents Indexed: 33 Publications since 1996, including 3 Books
2 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 15 Reviews
Co-Authors: 21 Co-Authors with 25 Joint Publications
370 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 491 times in 224 Documents Cited by Year
Differential Galois theory and non-integrability of Hamiltonian systems. Zbl 0934.12003
Morales Ruiz, Juan J.
132
1999
Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. Zbl 1144.37023
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles
60
2007
Galoisian obstructions to integrability of Hamiltonian systems. I. Zbl 1140.37352
Morales-Ruiz, Juan J.; Ramis, Jean Pierre
53
2001
A note on the non-integrability of some Hamiltonian systems with a homogeneous potential. Zbl 1140.37353
Morales-Ruiz, Juan J.; Ramis, Jean Pierre
31
2001
Galoisian obstructions to integrability of Hamiltonian systems. II. Zbl 1140.37354
Morales-Ruiz, Juan J.; Ramis, Jean Pierre
27
2001
Algebraic proof of the non-integrability of Hill’s problem. Zbl 1078.70014
Morales-Ruiz, Juan J.; Simó, Carles; Simon, Sergi
23
2005
Integrability of dynamical systems through differential Galois theory: a practical guide. Zbl 1294.37024
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre
21
2010
Galoisian approach to integrability of Schrödinger equation. Zbl 1238.81090
Acosta-Humánez, Primitivo B.; Morales-Ruiz, Juan J.; Weil, Jacques-Arthur
18
2011
Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations. Zbl 0866.58034
Morales-Ruiz, Juan J.; Simó, Carles
17
1996
Differential Galois theory and non-integrability of Hamiltonian systems. Reprint of the 1999 original. Zbl 1295.37015
Morales Ruiz, Juan J.
14
2013
On a Galoisian approach to the splitting of separatrices. Zbl 0971.34076
Morales-Ruiz, Juan J.; Peris, Josep Maria
12
1999
On the meromorphic non-integrability of some \(N\)-body problems. Zbl 1167.37345
Morales-Ruiz, Juan J.; Simon, Sergi
12
2009
Galoisian obstructions to integrability of Hamiltonian systems: Statements and examples. Zbl 0982.37061
Morales-Ruiz, Juan J.; Ramis, Jean Pierre
10
1999
Differential Galois theory of algebraic Lie-Vessiot systems. Zbl 1200.34109
Blázquez-Sanz, David; Morales-Ruiz, Juan José
8
2010
A remark about the Painlevé transcendents. Zbl 1140.37016
Morales-Ruiz, Juan J.
8
2006
On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory. Zbl 1358.12002
Acosta-Humánez, Primitivo B.; Lázaro, J. Tomás; Morales-Ruiz, Juan J.; Pantazi, Chara
7
2015
Picard-Vessiot theory and integrability. Zbl 1372.12006
Morales-Ruiz, Juan J.
6
2015
Kovalevskaya, Lyapunov, Painlevé, Ziglin and the differential Galois theory. Zbl 0984.34075
Morales-Ruiz, J. J.
6
2000
Local and global aspects of Lie superposition theorem. Zbl 1205.34123
Blázquez-Sanz, David; Morales-Ruiz, Juan J.
4
2010
Differential Galois theory and non-integrability of planar polynomial vector fields. Zbl 1414.12009
Acosta-Humánez, Primitivo B.; Lázaro, J. Tomás; Morales-Ruiz, Juan J.; Pantazi, Chara
4
2018
Introduction to differential Galois theory. With an appendix by Juan J. Morales-Ruiz. Zbl 1172.12002
Crespo, Teresa; Hajto, Zbigniew
3
2007
A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory. Zbl 1035.37041
Morales-Ruiz, Juan J.
3
2002
Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Zbl 1357.37002
Bolsinov, Alexey; Morales-Ruiz, Juan J.; Nguyen Tien Zung
2
2016
Differential Galois theory and Lie symmetries. Zbl 1396.12006
Blázquez-Sanz, David; Morales-Ruiz, Juan J.; Weil, Jacques-Arthur
2
2015
Lie’s reduction method and differential Galois theory in the complex analytic context. Zbl 1242.12003
Blázquez-Sanz, David; Morales-Ruiz, Juan J.
2
2012
Factorization of KdV Schrödinger operators using differential subresultants. Zbl 1444.14064
Morales-Ruiz, Juan J.; Rueda, Sonia L.; Zurro, Maria-Angeles
2
2020
Meromorphic nonintegrability of Hamiltonian systems. Zbl 1019.37034
Morales-Ruiz, Juan J.
1
2001
Differential Galois theory and Darboux transformations for integrable systems. Zbl 1396.12007
Jiménez, Sonia; Morales-Ruiz, Juan J.; Sánchez-Cauce, Raquel; Zurro, María-Angeles
1
2017
On the dynamical meaning of the Picard–Vessiot theory. Zbl 0987.12003
Morales-Ruiz, Juan J.; Peris, Josep Maria
1
2001
A differential Galois approach to path integrals. Zbl 1443.81051
Morales-Ruiz, Juan J.
1
2020
Factorization of KdV Schrödinger operators using differential subresultants. Zbl 1444.14064
Morales-Ruiz, Juan J.; Rueda, Sonia L.; Zurro, Maria-Angeles
2
2020
A differential Galois approach to path integrals. Zbl 1443.81051
Morales-Ruiz, Juan J.
1
2020
Differential Galois theory and non-integrability of planar polynomial vector fields. Zbl 1414.12009
Acosta-Humánez, Primitivo B.; Lázaro, J. Tomás; Morales-Ruiz, Juan J.; Pantazi, Chara
4
2018
Differential Galois theory and Darboux transformations for integrable systems. Zbl 1396.12007
Jiménez, Sonia; Morales-Ruiz, Juan J.; Sánchez-Cauce, Raquel; Zurro, María-Angeles
1
2017
Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Zbl 1357.37002
Bolsinov, Alexey; Morales-Ruiz, Juan J.; Nguyen Tien Zung
2
2016
On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory. Zbl 1358.12002
Acosta-Humánez, Primitivo B.; Lázaro, J. Tomás; Morales-Ruiz, Juan J.; Pantazi, Chara
7
2015
Picard-Vessiot theory and integrability. Zbl 1372.12006
Morales-Ruiz, Juan J.
6
2015
Differential Galois theory and Lie symmetries. Zbl 1396.12006
Blázquez-Sanz, David; Morales-Ruiz, Juan J.; Weil, Jacques-Arthur
2
2015
Differential Galois theory and non-integrability of Hamiltonian systems. Reprint of the 1999 original. Zbl 1295.37015
Morales Ruiz, Juan J.
14
2013
Lie’s reduction method and differential Galois theory in the complex analytic context. Zbl 1242.12003
Blázquez-Sanz, David; Morales-Ruiz, Juan J.
2
2012
Galoisian approach to integrability of Schrödinger equation. Zbl 1238.81090
Acosta-Humánez, Primitivo B.; Morales-Ruiz, Juan J.; Weil, Jacques-Arthur
18
2011
Integrability of dynamical systems through differential Galois theory: a practical guide. Zbl 1294.37024
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre
21
2010
Differential Galois theory of algebraic Lie-Vessiot systems. Zbl 1200.34109
Blázquez-Sanz, David; Morales-Ruiz, Juan José
8
2010
Local and global aspects of Lie superposition theorem. Zbl 1205.34123
Blázquez-Sanz, David; Morales-Ruiz, Juan J.
4
2010
On the meromorphic non-integrability of some \(N\)-body problems. Zbl 1167.37345
Morales-Ruiz, Juan J.; Simon, Sergi
12
2009
Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. Zbl 1144.37023
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles
60
2007
Introduction to differential Galois theory. With an appendix by Juan J. Morales-Ruiz. Zbl 1172.12002
Crespo, Teresa; Hajto, Zbigniew
3
2007
A remark about the Painlevé transcendents. Zbl 1140.37016
Morales-Ruiz, Juan J.
8
2006
Algebraic proof of the non-integrability of Hill’s problem. Zbl 1078.70014
Morales-Ruiz, Juan J.; Simó, Carles; Simon, Sergi
23
2005
A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory. Zbl 1035.37041
Morales-Ruiz, Juan J.
3
2002
Galoisian obstructions to integrability of Hamiltonian systems. I. Zbl 1140.37352
Morales-Ruiz, Juan J.; Ramis, Jean Pierre
53
2001
A note on the non-integrability of some Hamiltonian systems with a homogeneous potential. Zbl 1140.37353
Morales-Ruiz, Juan J.; Ramis, Jean Pierre
31
2001
Galoisian obstructions to integrability of Hamiltonian systems. II. Zbl 1140.37354
Morales-Ruiz, Juan J.; Ramis, Jean Pierre
27
2001
Meromorphic nonintegrability of Hamiltonian systems. Zbl 1019.37034
Morales-Ruiz, Juan J.
1
2001
On the dynamical meaning of the Picard–Vessiot theory. Zbl 0987.12003
Morales-Ruiz, Juan J.; Peris, Josep Maria
1
2001
Kovalevskaya, Lyapunov, Painlevé, Ziglin and the differential Galois theory. Zbl 0984.34075
Morales-Ruiz, J. J.
6
2000
Differential Galois theory and non-integrability of Hamiltonian systems. Zbl 0934.12003
Morales Ruiz, Juan J.
132
1999
On a Galoisian approach to the splitting of separatrices. Zbl 0971.34076
Morales-Ruiz, Juan J.; Peris, Josep Maria
12
1999
Galoisian obstructions to integrability of Hamiltonian systems: Statements and examples. Zbl 0982.37061
Morales-Ruiz, Juan J.; Ramis, Jean Pierre
10
1999
Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations. Zbl 0866.58034
Morales-Ruiz, Juan J.; Simó, Carles
17
1996
all top 5

Cited by 201 Authors

33 Przybylska, Maria
32 Maciejewski, Andrzej J.
17 Llibre, Jaume
12 Morales-Ruiz, Juan José
12 Valls Anglés, Cláudia
11 Acosta Humánez, Primitivo Belén
11 Szumiński, Wojciech
10 Li, Wenlei
10 Shi, Shaoyun
10 Yagasaki, Kazuyuki
9 Combot, Thierry
8 Stachowiak, Tomasz
7 Weil, Jacques-Arthur
6 Pantazi, Chara
6 Simó, Carles
5 Christov, Ognyan
5 Duval, Guillaume
5 Huang, Kaiyin
5 Stuchi, Teresinha J.
4 Dreyfus, Thomas
4 Tsygvintsev, Alexei V.
4 Zurro, María-Angeles
3 Blázquez-Sanz, David
3 Borisov, Alekseĭ Vladimirovich
3 Casale, Guy
3 Elmandouh, Adel A.
3 Malagón, Camilo Sanabria
3 Ramis, Jean-Pierre
3 Ribón, Javier
3 Shibayama, Mitsuru
3 Simon, Sergi
3 Vidal, Claudio
3 Yamanaka, Shogo
2 Adamus, Elżbieta
2 Almeida, Márcio A. C.
2 Alvarez-Ramírez, Martha
2 Aparicio-Monforte, Ainhoa
2 Audin, Michèle
2 Batkhin, Alexandr B.
2 Cariñena, José F.
2 de Lucas, Javier
2 Jiménez, Sonia
2 Kozlov, Valeriĭ Vasil’evich
2 Lázaro, Jose Tomas
2 Mahdi, Adam
2 Maier, Robert S.
2 Mamaev, Ivan Sergeevich
2 Motonaga, Shoya
2 Nguyen Tien Zung
2 Remy, Pascal
2 Rueda, Sonia L.
2 Sánchez-Cauce, Raquel
2 Szydłowski, Marek
2 Waters, Thomas J.
2 Yaremko, Yurij
2 Yoshida, Haruo
1 Acosta-Humánez, Manuel F.
1 Alkauskas, Giedrius
1 Amen, Azad I.
1 Amzallag, Eli
1 Andrade, Jaime
1 Arioli, Gianni
1 Arribas, Mercedes
1 Ayoul, Michaël
1 Aziz, Waleed
1 Balseiro, Paula
1 Banerjee, Aritra
1 Barkatou, Moulay A.
1 Ben Hamed, Bassem
1 Bhattacharyya, Arpan
1 Bizyaev, Ivan Alekseevich
1 Boatto, Stefanella
1 Bonnard, Bernard
1 Brezhnev, Yurii V.
1 Burgos-García, Jaime
1 Butler, Leo T.
1 Cabrera, Alejandro
1 Caillau, Jean-Baptiste
1 Campoamor-Stursberg, Rutwig
1 Capitán, José A.
1 Carrasco, Dante
1 Carrillo Torres, S. A.
1 Ceccaroni, Marta
1 Celletti, Alessandra
1 Christopher, Colin J.
1 Churchill, Richard C.
1 Colak, Ilker E.
1 Crespo Vicente, Teresa
1 Delgado, Joaquín F.
1 Delshams, Amadeu
1 Díaz Arboleda, Juan Sebastián
1 Duarte, Gladston
1 Dullin, Holger R.
1 Elipe, Antonio
1 Erjavec, Zlatko
1 Falconi, Manuel J.
1 Féjoz, Jacques
1 Fernández-Sánchez, Percy
1 Ferragut, Antoni
1 Ferrándiz, José Manuel
...and 101 more Authors
all top 5

Cited in 68 Serials

21 Physics Letters. A
20 Journal of Mathematical Physics
16 Regular and Chaotic Dynamics
15 Journal of Differential Equations
13 Physica D
11 Celestial Mechanics and Dynamical Astronomy
9 Discrete and Continuous Dynamical Systems
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Journal of Geometry and Physics
6 Journal of Nonlinear Mathematical Physics
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Communications in Nonlinear Science and Numerical Simulation
4 Nonlinearity
4 Annales de l’Institut Fourier
4 Journal of Symbolic Computation
3 Chaos, Solitons and Fractals
3 Journal of High Energy Physics
3 Advances in Mathematical Physics
2 Classical and Quantum Gravity
2 Israel Journal of Mathematics
2 Reports on Mathematical Physics
2 Journal of Algebra
2 Journal of Computational and Applied Mathematics
2 Journal für die Reine und Angewandte Mathematik
2 Proceedings of the American Mathematical Society
2 Applied Mathematics Letters
2 Nonlinear Dynamics
2 Chaos
2 Journal of Dynamical and Control Systems
2 Lobachevskii Journal of Mathematics
2 Qualitative Theory of Dynamical Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Geometric Methods in Modern Physics
1 Journal of Mathematical Analysis and Applications
1 Mathematics of Computation
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Computation
1 Functional Analysis and its Applications
1 Journal of Approximation Theory
1 Journal of the Mathematical Society of Japan
1 Mathematische Annalen
1 Pacific Journal of Mathematics
1 Programming and Computer Software
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 The Journal of Geometric Analysis
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Electronic Journal of Differential Equations (EJDE)
1 St. Petersburg Mathematical Journal
1 Doklady Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Communications in Contemporary Mathematics
1 Nonlinear Analysis. Real World Applications
1 Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 SIAM Journal on Applied Dynamical Systems
1 African Diaspora Journal of Mathematics
1 Mathematics in Computer Science
1 Journal of Physics A: Mathematical and Theoretical
1 Mathematical Modelling of Natural Phenomena
1 Journal of Topology and Analysis
1 Confluentes Mathematici
1 São Paulo Journal of Mathematical Sciences
1 Journal of Geometric Mechanics
1 Symmetry
1 Open Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

Cited in 36 Fields

134 Dynamical systems and ergodic theory (37-XX)
101 Ordinary differential equations (34-XX)
96 Mechanics of particles and systems (70-XX)
34 Field theory and polynomials (12-XX)
17 Partial differential equations (35-XX)
14 Quantum theory (81-XX)
11 Several complex variables and analytic spaces (32-XX)
11 Differential geometry (53-XX)
10 Algebraic geometry (14-XX)
9 Special functions (33-XX)
9 Relativity and gravitational theory (83-XX)
6 Nonassociative rings and algebras (17-XX)
5 Group theory and generalizations (20-XX)
4 Topological groups, Lie groups (22-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Numerical analysis (65-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 History and biography (01-XX)
3 Number theory (11-XX)
3 Manifolds and cell complexes (57-XX)
3 Optics, electromagnetic theory (78-XX)
2 Mathematical logic and foundations (03-XX)
2 Difference and functional equations (39-XX)
2 Probability theory and stochastic processes (60-XX)
2 Computer science (68-XX)
2 Fluid mechanics (76-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Functions of a complex variable (30-XX)
1 Functional analysis (46-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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