Javier de Lucas Araujo

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José F. CariñenaEmeritus Professor of Theoretical PhysicsVerified email at unizar.es
Cristina SardonUniversidad Politécnica de MadridVerified email at upm.es
Francisco J. HerranzDepartment of Physics, University of Burgos (Spain)Verified email at ubu.es
Janusz GrabowskiInstitute of Mathematics, Polish Academy of Sciences, WarsawVerified email at impan.pl
Silvia VilariñoCentro Universitario de la Defensa de ZaragozaVerified email at unizar.es
Angel BallesterosProfessor of Physics, University of Burgos (Spain)Verified email at ubu.es
Xavier Rivas GuijarroUniversidad Internacional de la RiojaVerified email at unir.net
Alfonso BlascoDepartamento de Física, Universidad de BurgosVerified email at ubu.es
Bartosz Maciej ZaworaUniversity of WarsawVerified email at student.uw.edu.pl
Arturo Ramos (https://orcid.org/0000-0...Dept. of Economic Analysis. University of Zaragoza (Spain) (https://ror.org/012a91z28)Verified email at unizar.es
Partha GuhaKhalifa University, Bose National Centre, Max Planck Institute, Oxford University, IHES, Kyoto, EPFLVerified email at ku.ac.ae
Xavier GràciaTechnical University of Catalonia, BarcelonaVerified email at upc.edu
Jesús Clemente-GallardoBIFI and Department of Theoretical Physics, University of ZaragozaVerified email at unizar.es
Miguel C. Muñoz-Lecanda, (ORCID:00...Emeritus Professor of Applied Mathematics, Technical University of Catalonia, SpainVerified email at upc.edu
Jorge Alberto Jover GaltierProfesor interino, Universidad de ZaragozaVerified email at unizar.es
Narciso Román-Roy (ORCID: 0000-00...Full Professor of Applied Mathematics, Dept. Mathematics; Universitat Politècnica de Catalunya (UPC)Verified email at upc.edu
Florin AvramProfessor of Probability and Statistics, University of PauVerified email at univ-pau.fr
Michal LewandowskiSoftware Competence Center Hagenberg GmbH (SCCH)Verified email at scch.at

Javier de Lucas Araujo

Chair of Mathematical Methods in Physics. University of Warsaw

Verified email at fuw.edu.pl - Homepage

Differential equations Poisson Geometry Geometric Mechanics Dirac Geometry Symplectic Geometry.


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Lie systems: theory, generalisations, and applications JF Cariñena, J de Lucas Dissertationes Mathematicae 479, 162, 2011	97	2011
Lie–Hamilton systems: theory and applications JF Cariñena, J de Lucas, C Sardón International Journal of Geometric Methods in Modern Physics 10 (09), 1350047, 2013	53	2013
Recent applications of the theory of Lie systems in Ermakov systems JF Cariñena, J De Lucas, MF Rañada SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4, 031, 2008	52	2008
Lie–Hamilton systems on the plane: properties, classification and applications A Ballesteros, A Blasco, FJ Herranz, J de Lucas, C Sardón Journal of Differential Equations 258 (8), 2873-2907, 2015	51	2015
From constants of motion to superposition rules for Lie–Hamilton systems A Ballesteros, JF Carinena, FJ Herranz, J de Lucas, C Sardón Journal of Physics A: Mathematical and Theoretical 46 (28), 285203, 2013	44	2013
A nonlinear superposition rule for solutions of the Milne–Pinney equation JF Cariñena, J de Lucas Physics Letters A 372 (33), 5385-5389, 2008	44	2008
Applications of Lie systems in dissipative Milne–Pinney equations JF Cariñena, J De Lucas International Journal of Geometric Methods in Modern Physics 6 (04), 683-699, 2009	43	2009
Superposition rules for higher order systems and their applications JF Cariñena, J Grabowski, J de Lucas Journal of Physics A: Mathematical and Theoretical 45 (18), 185202, 2012	39	2012
Dirac–Lie systems and Schwarzian equations JF Carinena, J Grabowski, J de Lucas, C Sardón Journal of Differential Equations 257 (7), 2303-2340, 2014	38	2014
Lie–Hamilton systems on the plane: applications and superposition rules A Blasco, FJ Herranz, J De Lucas, C Sardón Journal of Physics A: Mathematical and Theoretical 48 (34), 345202, 2015	37	2015
k-symplectic Lie systems: theory and applications J de Lucas, S Vilarino Journal of Differential Equations, 2015	29	2015
A guide to Lie systems with compatible geometric structures JDL Araujo, CS Muñoz World Scientific, 2020	25	2020
Superposition rules and second-order Riccati equations JF Carinena, J de Lucas arXiv preprint arXiv:1007.1309, 2010	25	2010
Lie families: theory and applications JF Carinena, J Grabowski, J De Lucas Journal of Physics A: Mathematical and Theoretical 43 (30), 305201, 2010	25	2010
A geometric approach to integrability conditions for Riccati equations JF Carinena, J De Lucas, A Ramos arXiv preprint arXiv:0810.1740, 2008	25	2008
A geometric approach to integrability conditions for Riccati equations JF Carinena, J De Lucas, A Ramos arXiv preprint arXiv:0810.1740, 2008	25	2008
Lie symmetries for Lie systems: applications to systems of ODEs and PDEs PG Estévez, FJ Herranz, J de Lucas, C Sardón Applied Mathematics and Computation 273, 435-452, 2016	23	2016
On Lie systems and Kummer-Schwarz equations J de Lucas, C Sardón Journal of Mathematical Physics 54 (3), 2013	23	2013
Quasi-Lie schemes: theory and applications JF Carinena, J Grabowski, J de Lucas Journal of Physics A: Mathematical and Theoretical 42 (33), 335206, 2009	23	2009
Mixed superposition rules and the Riccati hierarchy J Grabowski, J de Lucas Journal of Differential Equations 254 (1), 179-198, 2013	19	2013

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