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Author ID: de-lucas.javier Recent zbMATH articles by "de Lucas, Javier"
Published as: de Lucas, Javier; de Lucas, J.; De Lucas, J.; De Lucas, Javier; Lucas, Javier de; de Lucas Araujo, Javier
Homepage: https://www.impan.pl/~delucas/
External Links: MGP · dblp

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 314 times in 97 Documents Cited by Year
Lie systems: theory, generalisations, and applications. Zbl 1236.34011
Cariñena, J. F.; De Lucas, J.
33
2011
From constants of motion to superposition rules for Lie-Hamilton systems. Zbl 1284.34014
Ballesteros, A.; Cariñena, J. F.; Herranz, F. J.; de Lucas, J.; Sardón, C.
17
2013
Lie-Hamilton systems on the plane: properties, classification and applications. Zbl 1315.34020
Ballesteros, A.; Blasco, A.; Herranz, F. J.; de Lucas, J.; Sardón, C.
16
2015
Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011
Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C.
16
2014
Superposition rules for higher order systems and their applications. Zbl 1248.34008
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
16
2012
Lie-Hamilton systems: theory and applications. Zbl 1317.53108
Cariñena, J. F.; De Lucas, J.; Sardón, C.
15
2013
A nonlinear superposition rule for solutions of the Milne-Pinney equation. Zbl 1223.81093
Cariñena, José F.; de Lucas, Javier
14
2008
Mixed superposition rules and the Riccati hierarchy. Zbl 1267.34016
Grabowski, Janusz; de Lucas, Javier
13
2013
On Lie systems and Kummer-Schwarz equations. Zbl 1312.34032
de Lucas, J.; Sardón, C.
12
2013
Lie-Hamilton systems on the plane: applications and superposition rules. Zbl 1350.34019
Blasco, Alfonso; Herranz, Francisco J.; De Lucas, Javier; Sardón, Cristina
11
2015
Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
11
2008
\(k\)-symplectic Lie systems: theory and applications. Zbl 1314.34030
de Lucas, J.; Vilariño, S.
8
2015
Applications of Lie systems in dissipative Milne-Pinney equations. Zbl 1184.34006
Cariñena, José F.; de Lucas, Javier
8
2009
Quasi-Lie schemes: theory and applications. Zbl 1193.34011
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
8
2009
Lie-Hamilton systems on curved spaces: a geometrical approach. Zbl 1394.70045
Herranz, Francisco J.; de Lucas, Javier; Tobolski, Mariusz
8
2017
Superposition rules and second-order Riccati equations. Zbl 1225.34015
Cariñena, José F.; de Lucas Araujo, Javier
8
2011
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F.
7
2015
A Lie systems approach to the Riccati hierarchy and partial differential equations. Zbl 1436.34031
Grundland, A. M.; de Lucas, J.
6
2017
A quasi-Lie schemes approach to second-order Gambier equations. Zbl 1279.34015
Cariñena, José F.; Guha, Partha; de Lucas, Javier
6
2013
Lie families: theory and applications. Zbl 1236.34012
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
6
2010
A guide to Lie systems with compatible geometric structures. Zbl 1455.37001
de Lucas, Javier; Sardón Muñoz, Cristina
6
2020
Jacobi-Lie systems: fundamentals and low-dimensional classification. Zbl 1359.37042
Sardón, C.; de Lucas, J.; Herranz, F. J.
5
2015
Lie symmetries for Lie systems: applications to systems of ODEs and PDEs. Zbl 1410.34108
Estévez, P. G.; Herranz, F. J.; de Lucas, J.; Sardón, C.
5
2016
A geometric approach to integrability of Abel differential equations. Zbl 1232.34003
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
5
2011
Quasi-Lie schemes and Emden-Fowler equations. Zbl 1283.34034
Cariñena, José F.; Leach, P. G. L.; de Lucas, Javier
5
2009
Geometry of Riccati equations over normed division algebras. Zbl 1381.34030
de Lucas, J.; Tobolski, M.; Vilariño, S.
4
2016
Quantum Lie systems and integrability conditions. Zbl 1186.81067
Cariñena, José F.; de Lucas, Javier
4
2009
A new application of \(k\)-symplectic Lie systems. Zbl 1334.34028
De Lucas, Javier; Tobolski, Mariusz; Vilariño, Silvia
3
2015
Quasi-Lie families, schemes, invariants and their applications to Abel equations. Zbl 1378.37053
Cariñena, J. F.; de Lucas, J.
3
2015
Integrability of Lie systems and some of its applications in physics. Zbl 1148.37029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
3
2008
Poisson-Hopf algebra deformations of Lie-Hamilton systems. Zbl 1412.70020
Ballesteros, Ángel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; de Lucas, Javier
3
2018
Integrability of Lie systems through Riccati equations. Zbl 1221.34026
Cariñena, José F.; de Lucas, Javier
3
2011
Lie systems and integrability conditions for \(t\)-dependent frequency harmonic oscillators. Zbl 1205.34035
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
3
2010
Phase splitting for periodic Lie systems. Zbl 1195.37035
Flores-Espinoza, R.; de Lucas, J.; Vorobiev, Yu M.
3
2010
A geometric approach to integrability conditions for Riccati equations. Zbl 1138.34301
Carinena, Jose F.; de Lucas, Javier; Ramos, Arturo
2
2007
A new Lie-systems approach to second-order Riccati equations. Zbl 1271.34039
Cariñena, J. F.; de Lucas, J.; Sardón, C.
2
2012
Geometric features of Vessiot-Guldberg Lie algebras of conformal and Killing vector fields on \(\mathbb{R}^2\). Zbl 1390.17033
Lewandowski, M. M.; De Lucas, J.
2
2017
Reduction and reconstruction of multisymplectic Lie systems. Zbl 1507.34066
de Lucas, Javier; Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso; Vilariño, Silvia
2
2022
Quasi-Lie schemes for PDEs. Zbl 1423.35012
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
2
2019
On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications. Zbl 1434.35159
Grundland, A. M.; de Lucas, J.
2
2019
A time-dependent energy-momentum method. Zbl 1490.37075
de Lucas, J.; Zawora, B. M.
2
2021
A Grassmann and graded approach to coboundary Lie bialgebras, their classification, and Yang-Baxter equations. Zbl 1478.17021
de Lucas, Javier; Wysocki, Daniel
2
2020
A unified approach to Poisson-Hopf deformations of Lie-Hamilton systems based on \({\mathfrak{sl}}(2)\). Zbl 1409.81062
Ballesteros, Ángel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; de Lucas, Javier
1
2018
A cohomological approach to immersed submanifolds via integrable systems. Zbl 1403.35269
de Lucas, J.; Grundland, A. M.
1
2018
A geometric approach to time evolution operators of Lie quantum systems. Zbl 1168.81005
Cariñena, José F.; de Lucas, Javier; Ramos, Arturo
1
2009
Multisymplectic structures and invariant tensors for Lie systems. Zbl 1509.37079
Gràcia, X.; de Lucas, J.; Muñoz-Lecanda, M. C.; Vilariño, S.
1
2019
Reduction and reconstruction of multisymplectic Lie systems. Zbl 1507.34066
de Lucas, Javier; Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso; Vilariño, Silvia
2
2022
A time-dependent energy-momentum method. Zbl 1490.37075
de Lucas, J.; Zawora, B. M.
2
2021
A guide to Lie systems with compatible geometric structures. Zbl 1455.37001
de Lucas, Javier; Sardón Muñoz, Cristina
6
2020
A Grassmann and graded approach to coboundary Lie bialgebras, their classification, and Yang-Baxter equations. Zbl 1478.17021
de Lucas, Javier; Wysocki, Daniel
2
2020
Quasi-Lie schemes for PDEs. Zbl 1423.35012
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
2
2019
On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications. Zbl 1434.35159
Grundland, A. M.; de Lucas, J.
2
2019
Multisymplectic structures and invariant tensors for Lie systems. Zbl 1509.37079
Gràcia, X.; de Lucas, J.; Muñoz-Lecanda, M. C.; Vilariño, S.
1
2019
Poisson-Hopf algebra deformations of Lie-Hamilton systems. Zbl 1412.70020
Ballesteros, Ángel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; de Lucas, Javier
3
2018
A unified approach to Poisson-Hopf deformations of Lie-Hamilton systems based on \({\mathfrak{sl}}(2)\). Zbl 1409.81062
Ballesteros, Ángel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; de Lucas, Javier
1
2018
A cohomological approach to immersed submanifolds via integrable systems. Zbl 1403.35269
de Lucas, J.; Grundland, A. M.
1
2018
Lie-Hamilton systems on curved spaces: a geometrical approach. Zbl 1394.70045
Herranz, Francisco J.; de Lucas, Javier; Tobolski, Mariusz
8
2017
A Lie systems approach to the Riccati hierarchy and partial differential equations. Zbl 1436.34031
Grundland, A. M.; de Lucas, J.
6
2017
Geometric features of Vessiot-Guldberg Lie algebras of conformal and Killing vector fields on \(\mathbb{R}^2\). Zbl 1390.17033
Lewandowski, M. M.; De Lucas, J.
2
2017
Lie symmetries for Lie systems: applications to systems of ODEs and PDEs. Zbl 1410.34108
Estévez, P. G.; Herranz, F. J.; de Lucas, J.; Sardón, C.
5
2016
Geometry of Riccati equations over normed division algebras. Zbl 1381.34030
de Lucas, J.; Tobolski, M.; Vilariño, S.
4
2016
Lie-Hamilton systems on the plane: properties, classification and applications. Zbl 1315.34020
Ballesteros, A.; Blasco, A.; Herranz, F. J.; de Lucas, J.; Sardón, C.
16
2015
Lie-Hamilton systems on the plane: applications and superposition rules. Zbl 1350.34019
Blasco, Alfonso; Herranz, Francisco J.; De Lucas, Javier; Sardón, Cristina
11
2015
\(k\)-symplectic Lie systems: theory and applications. Zbl 1314.34030
de Lucas, J.; Vilariño, S.
8
2015
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F.
7
2015
Jacobi-Lie systems: fundamentals and low-dimensional classification. Zbl 1359.37042
Sardón, C.; de Lucas, J.; Herranz, F. J.
5
2015
A new application of \(k\)-symplectic Lie systems. Zbl 1334.34028
De Lucas, Javier; Tobolski, Mariusz; Vilariño, Silvia
3
2015
Quasi-Lie families, schemes, invariants and their applications to Abel equations. Zbl 1378.37053
Cariñena, J. F.; de Lucas, J.
3
2015
Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011
Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C.
16
2014
From constants of motion to superposition rules for Lie-Hamilton systems. Zbl 1284.34014
Ballesteros, A.; Cariñena, J. F.; Herranz, F. J.; de Lucas, J.; Sardón, C.
17
2013
Lie-Hamilton systems: theory and applications. Zbl 1317.53108
Cariñena, J. F.; De Lucas, J.; Sardón, C.
15
2013
Mixed superposition rules and the Riccati hierarchy. Zbl 1267.34016
Grabowski, Janusz; de Lucas, Javier
13
2013
On Lie systems and Kummer-Schwarz equations. Zbl 1312.34032
de Lucas, J.; Sardón, C.
12
2013
A quasi-Lie schemes approach to second-order Gambier equations. Zbl 1279.34015
Cariñena, José F.; Guha, Partha; de Lucas, Javier
6
2013
Superposition rules for higher order systems and their applications. Zbl 1248.34008
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
16
2012
A new Lie-systems approach to second-order Riccati equations. Zbl 1271.34039
Cariñena, J. F.; de Lucas, J.; Sardón, C.
2
2012
Lie systems: theory, generalisations, and applications. Zbl 1236.34011
Cariñena, J. F.; De Lucas, J.
33
2011
Superposition rules and second-order Riccati equations. Zbl 1225.34015
Cariñena, José F.; de Lucas Araujo, Javier
8
2011
A geometric approach to integrability of Abel differential equations. Zbl 1232.34003
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
5
2011
Integrability of Lie systems through Riccati equations. Zbl 1221.34026
Cariñena, José F.; de Lucas, Javier
3
2011
Lie families: theory and applications. Zbl 1236.34012
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
6
2010
Lie systems and integrability conditions for \(t\)-dependent frequency harmonic oscillators. Zbl 1205.34035
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
3
2010
Phase splitting for periodic Lie systems. Zbl 1195.37035
Flores-Espinoza, R.; de Lucas, J.; Vorobiev, Yu M.
3
2010
Applications of Lie systems in dissipative Milne-Pinney equations. Zbl 1184.34006
Cariñena, José F.; de Lucas, Javier
8
2009
Quasi-Lie schemes: theory and applications. Zbl 1193.34011
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
8
2009
Quasi-Lie schemes and Emden-Fowler equations. Zbl 1283.34034
Cariñena, José F.; Leach, P. G. L.; de Lucas, Javier
5
2009
Quantum Lie systems and integrability conditions. Zbl 1186.81067
Cariñena, José F.; de Lucas, Javier
4
2009
A geometric approach to time evolution operators of Lie quantum systems. Zbl 1168.81005
Cariñena, José F.; de Lucas, Javier; Ramos, Arturo
1
2009
A nonlinear superposition rule for solutions of the Milne-Pinney equation. Zbl 1223.81093
Cariñena, José F.; de Lucas, Javier
14
2008
Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
11
2008
Integrability of Lie systems and some of its applications in physics. Zbl 1148.37029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
3
2008
A geometric approach to integrability conditions for Riccati equations. Zbl 1138.34301
Carinena, Jose F.; de Lucas, Javier; Ramos, Arturo
2
2007
all top 5

Cited by 121 Authors

30 de Lucas, Javier
16 Cariñena, José F.
11 Sardón, Cristina
6 Campoamor-Stursberg, Rutwig
6 Guedes, I.
6 Herranz, Francisco José
5 Ballesteros, Angel
4 Rañada, Manuel F.
4 Vilariño, Silvia
3 de León Rodríguez, Manuel
3 Grundland, Alfred Michel
3 Guha, Partha
3 Vassiliou, Peter John
2 Aguiar, Victor H.
2 Amirzadeh-Fard, H.
2 Bessa, V. H. L.
2 Blasco, Alfonso
2 Fernández-Saiz, Eduardo
2 Grabowski, Janusz
2 Haghighatdoost, Ghorbanali
2 Kisil, Vladimir V.
2 Mancas, Stefan C.
2 Paliathanasis, Andronikos
2 Pietrzkowski, Gabriel
2 Rezaei-Aghdam, Adel
2 Rivas, Xavier
2 Rosu, Haret C.
2 Tobolski, Mariusz
2 Zawora, Bartosz M.
1 Acevedo, Yeisson A.
1 Alencar, Geová
1 Almalki, Fadhel
1 An, Hongli
1 Basquerotto, Cláudio H. C. Costa
1 Berbel, Miguel Ángel
1 Blacker, Casey
1 Blázquez-Sanz, David
1 Borowiec, Andrzej Zdzisław
1 Bozhkov, Yuri Dimitrov
1 Bruzón, Maria Santos
1 Călin, Constantin
1 Castrillón López, Marco
1 Cervigni, Italo
1 Charzyński, Szymon
1 Ciobanu, Laura
1 Clelland, Jeanne Nielsen
1 Costa Filho, R. N.
1 Crâşmăreanu, Mircea
1 Crnkić, Aladin
1 da Conceição, Pammela Ramos
1 De Doná, José A.
1 Díaz Arboleda, Juan Sebastián
1 Dodangeh, Saeed
1 Duque, Óscar M. Londoño
1 Esen, Oğul
1 Estévez, Pilar G.
1 Fiori, Simone
1 Fujii, Kazuyuki
1 Gaeta, Giuseppe
1 García Hernández, Danilo A.
1 Gazizov, Rafail Kav’evich
1 Ghose Choudhury, Anindya
1 Govekar, Sweta
1 Gràcia, Xavier
1 Gueron, Jorge
1 Güngör, Faruk
1 Haas, Fernando
1 Harko, Tiberiu
1 Ippoliti, Mattia
1 Jaćimović, Vladimir
1 Kasatkin, Alekseĭ Aleksandrovich
1 Kheradmandynia, P.
1 Kolpakov, Alexander A.
1 Kumar Pradhan, Pabitra
1 Kuna, Maciej
1 Kuś, Marek
1 Kwong, Man Kam
1 Lakshmanan, Muthusamy
1 Landim, R. R.
1 Leach, Peter Gavin Lawrence
1 Lewandowski, M. M.
1 Liu, Jiefeng
1 Loaiza, Gabriel I.
1 Lobo, Francisco S. N.
1 Lukierski, Jerzy
1 Macedo, D. X.
1 Mak, Man Kwong
1 Marcinkevicius, Romas
1 Marrero, Juan Carlos
1 Menini, Laura
1 Menotta, Claudio
1 Muñoz-Lecanda, Miguel C.
1 Muriel, Concepción
1 Musso, Fabio
1 Nadjafikhah, Mehdi
1 Naudts, Jan
1 Navickas, Zenonas
1 Ndogmo, Jean-Claude
1 Niedermaier, Max R.
1 Ôike, Hiroshi
...and 21 more Authors
all top 5

Cited in 48 Serials

11 Journal of Mathematical Physics
8 Journal of Physics A: Mathematical and Theoretical
7 International Journal of Geometric Methods in Modern Physics
6 Journal of Differential Equations
4 Physics Letters. A
4 Journal of Dynamical and Control Systems
3 Journal of Mathematical Analysis and Applications
3 Journal of Geometry and Physics
3 Applied Mathematics and Computation
2 Acta Mechanica
2 International Journal of Theoretical Physics
2 Physica A
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Differential Geometry and its Applications
1 International Journal of Modern Physics A
1 Classical and Quantum Gravity
1 Discrete Mathematics
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Physics Reports
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Czechoslovak Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Quaestiones Mathematicae
1 SIAM Journal on Control and Optimization
1 Studies in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Annals of Physics
1 Journal of Nonlinear Science
1 Advances in Differential Equations
1 Discrete and Continuous Dynamical Systems
1 Nonlinear Dynamics
1 Chaos
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 Applied Sciences
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Journal of Nonlinear Mathematical Physics
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Central European Journal of Mathematics
1 Journal of Mathematical Physics, Analysis, Geometry
1 Journal of Noncommutative Geometry
1 Revista Integración
1 International Journal of Applied and Computational Mathematics

Citations by Year