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 |