My research interests involve geometry, mechanics, and mathematical modeling.

Publications and preprints.

  1. 1. Fedorov Y. N., García-Naranjo L. C. and Naranjo J. C., A shortcut to the Kovalevskaya curve via pencils of genus 3 curves. arXiv

  2. 2. Borisov, A. V., García-Naranjo L. C., Mamaev I. S. and Montaldi J., Reduction and relative equilibria for the 2-body problem in spaces of constant curvature. arXiv

  3. 3. Fassò F., García-Naranjo L. C. and Sansonetto N., Moving energies as first integrals of nonholonomic systems with affine constraints. Nonlinearity 31, (2018) 755-782. arXiv

  4. 4. García-Naranjo L. C. and Montaldi J., Gauge Momenta as Casimir functions of nonholonomic systems. Arch. Rat. Mech. Anal. 228, (2018) 563-602. arXiv

  5. 5. García-Naranjo L. C. and Jiménez F., The geometric discretisation of the Suslov problem: a case study of consistency for nonholonomic integrators. Disc. and Cont. Dyn. Syst. Series A 37 (2017), 4249-4275. Preprint

  6. 6.García-Naranjo L. C., Montaldi J. and Smolyanov O.G., Transformations of Feynman path integrals and generalized densities of Feynman pseudomeasures. Doklady Math. 93, (2016) 282-285. Preprint

  7. 7.García-Naranjo L. C., Marrero J. C., Pérez-Chavela E. and Rodríguez-Olmos M.,Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2. J. of Differential Equations 260 (2016) 6375-6404 arXiv

  8. 8.Fassò F., García-Naranjo L. C. and Giacobbe A., Quasi-periodicity in relative quasi-periodic tori. Nonlinearity 28 (2015) 4281-4301 arXiv

  9. 9.Bravo-Doddoli A. and García-Naranjo L. C., The dynamics of an articulated n-trailer vehicle. Reg. and Chaot. Dyn. 20 (2015) 497-517 arXiv

  10. 10.García-Naranjo L. C., Suárez-Serrato P. and Vera R., Poisson structures on four smooth manifolds. Lett. in Math. Phys. 105 (2015), 1533-1550 arXiv

11. Fedorov Y. N.,   García-Naranjo L. C. and  Marrero J. C., Unimodularity and preservation of 

    volumes in nonholonomic mechanics. J. Nonlinear Sci. 25 (2015), 203-246 arXiv

  1. 12. García-Naranjo L. C., Maciejewski A. J.,   Marrero J. C. and Przybylska M.,  The inhomogeneous   Suslov problem. Phys. Lett. A  378 (2014), 2389-2394. arXiv

13. García-Naranjo L. C. and  Marrero J. C.,  Non-existence of an invariant measure for a 

    homogeneous ellipsoid rolling on the plane. Reg. and Chaot. Dyn. 18 (2013), 372-379. arXiv

  1. 14.García-Naranjo L. C. and Vankerschaver J., Nonholonomic LL systems on central extensions and

    the hydrodynamic Chaplygin sleigh with circulation. J. Geom. Phys. 73 (2013), 56-69. arXiv

  1. 15.Fedorov Y. N., García-Naranjo L. C. and  Vankerschaver J., The motion of the 2D hydrodynamic

      Chaplygin sleigh in the presence of circulation. Disc. and Cont. Dyn. Syst. Series A  33 (2013),  

      4017-4040. arXiv

  1. 16. Balseiro, P.  and García-Naranjo, L. C., Gauge transformations, twisted Poisson brackets and   Hamiltonization of nonholonomic systems, Arch. Rat. Mech. Anal. 205 (2012),  267-310. arXiv

  2. 17. Fedorov Y. N. and  García-Naranjo, L. C., The hydrodynamic Chaplygin sleigh. J. Phys. A: Math. Theor. 43 (2010) 434013 (18pp). arXiv

  3. 18. García-Naranjo, L. C., Reduction of  almost Poisson brackets and Hamiltonization of the Chaplygin sphere.  Disc. and Cont. Dyn. Syst. Series S3 (2010), 37-60. arXiv

  4. 19. Hochgerner S. and García-Naranjo, L. C., G-Chaplygin systems with internal symmetries, truncation, and an (almost) symplectic view of Chaplygin's ball. J. Geom. Mech. 1 (2009), 35-53. arXiv

  5. 20. García-Naranjo, L. C., Reduction of  almost Poisson brackets for nonholonomic  systems on Lie groups. Reg. and Chaot. Dyn., 14 (2007), 365-388.

  6. 21. Tartakovsky  A. M.,  García-Naranjo L. C., and  Tartakovsky D. M. , Transient Flow in a Heterogeneous Vadose Zone with Uncertain Parameters, Vadose Zone Journal, 3 (2004), 154-163.