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 BallesterosDepartment of Physics, University of Burgos (Spain)Verified email at ubu.es
Xavier Rivas GuijarroUniversitat Rovira i VirgiliVerified email at urv.cat
Alfonso BlascoDepartamento de Física, Universidad de BurgosVerified email at ubu.es
Xavier GràciaTechnical University of Catalonia, BarcelonaVerified email at upc.edu
Arturo Ramos (https://orcid.org/0000-0...Dept. of Economic Analysis. University of Zaragoza (Spain) (https://ror.org/012a91z28)Verified email at unizar.es
Bartosz Maciej ZaworaUniversity of WarsawVerified email at student.uw.edu.pl
Narciso Román-Roy (ORCID: 0000-00...Full Professor of Applied Mathematics, Dept. Mathematics; Universitat Politècnica de Catalunya (UPC)Verified email at upc.edu
Partha GuhaKhalifa University, Bose National Centre, Max Planck Institute, Oxford University, IHES, Kyoto, EPFLVerified email at ku.ac.ae
Jesús Clemente-GallardoBIFI and Department of Theoretical Physics, University of ZaragozaVerified email at unizar.es
Jorge Alberto Jover GaltierProfesor interino, Universidad de 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
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
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	55	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	54	2015
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	54	2013
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	49	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	47	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	44	2009
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	40	2015
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	40	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	39	2014
k-symplectic Lie systems: theory and applications J de Lucas, S Vilarino Journal of Differential Equations, 2015	31	2015
A guide to Lie systems with compatible geometric structures JDL Araujo, CS Muñoz World Scientific, 2020	30	2020
A geometric approach to integrability conditions for Riccati equations JF Carinena, J De Lucas, A Ramos arXiv preprint arXiv:0810.1740, 2008	26	2008
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	24	2010
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
Jacobi multipliers, non-local symmetries, and nonlinear oscillators JF Cariñena, J De Lucas, M F Rañada Journal of Mathematical Physics 56 (6), 2015	20	2015
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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