This web page was closed on Nov., 7th, 2023. The new page of the research group is https://ecuadif.uniovi.es

Preprints:

• R. Ortega, X. Yu, Maps of the plane with a finite number of fixed points, (September, 7, 2023)  pdf-file

• A.J. Urena, On the Lambert problem with drag, (February, 10, 2023)  pdf-file

• A. Fonda, R. Ortega, A two-point boundary value problem associated with Hamiltonian systems on a cylinder, (October, 19, 2022)  pdf-file

• R. Ortega, A. Ruiz-Herrera, Prime ends dynamics on invariant Peano continua, (June, 13, 2022)  pdf-file

• A. Albouy, A.J. Urena, An antimaximum principle for periodic solutions of a forced oscillator, (January, 23, 2022), To appear in Communications in Contemporary Mathematics   pdf-file

• R. Ortega, A. Ruiz-Herrera, Topology of attractors and periodic points, (October, 19, 2021)  pdf-file

• M. Kunze, R. Ortega, Hamiltonian normal forms and applications to maps, (January, 3, 2021)  pdf-file

• A. Ruiz-Herrera, P.J. Torres, Optimal Network Architectures for Spatially Structured Populations with Heterogeneous Diffusion, (February, 10, 2020), to appear in The American Naturalist

Publications:

2023

• A. Albouy, A.J. Urena, How many Keplerian arcs are there between two points of spacetime?, Celestial Mechanics and Dynamical Astronomy (2023), 135:18   pdf-file

• C. Barrera-Anzaldo, Uniform bifurcation of comet-type periodic orbits in the restricted (n+1)-body problem with non-Newtonian homogeneous potential, Journal of Differential Equations 360 (2023), 572-598   pdf-file

• G. Graff, R. Ortega, A. Ruiz-Herrera, Attractors of dissipative homeomorphisms of the infinite surface homeomorphic to a punctured sphere, Communications in Contemporary Mathematics 25 (2023), Issue 04, Article 2250010   pdf-file

• R. Ortega, H. Schliessauf, Recurrent motions in a piecewise linear oscillator, Annales de l'Institut Henri Poincare 24 (2023), 697-715   pdf-file

• V. Ortega, C. Rebelo, A note on stability criteria in the periodic Lotka-Volterra predator-prey model, Applied Mathematics Letters, Volume 145, 2023, 108739   pdf-file

2022

• A. Golebiewska, E. Perez-Chavela, S. Rybicki and A.J. Urena, Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces, Journal of Differential Equations 338 (2022), 441-473  pdf-file

• J.J. Omiste, R. Gonzalez-Ferez, R. Ortega, An introduction to classical monodromy: applications to molecules in external fields, J. Math. Phys. 63 (2022), no. 3, Paper No. 032702, 18 pp.   pdf-file

• A.J. Urena, Instability of closed orbits obtained by minimization, Nonlinearity, 35, Paper No. 5193   pdf-file

2021

• V. Barutello, R. Ortega, G. Verzini, Regularized variational principles for the perturbed Kepler Problem, Adv. Math. 383 (2021), 107694.   pdf-file

• M. Kunze, R. Ortega, Growth rates of orbits in non-periodic twist maps and a theorem by Neishtadt,, Nonlinearity 34 (2021), no. 6, 3732-3761.   pdf-file

• M. Misquero, The spin-spin model and the capture into the double synchronous resonance, Nonlinearity 34 (2021), no. 4, 2191-2219. pdf-file

• R. Ortega, Variations on Lyapunov's stability criterion and periodic prey-predator systems, Electron. Res. Arch. 29 (2021), no. 6, 3995-4008.   pdf-file

• R. Ortega, L. Zhao, Generalized periodic orbits in some restricted three body problems, Z. Angew. Math. Phys. 72 (2021), no. 1, 40.   pdf-file

2020

• A. Albouy, A.J. Urena, Some simple results about the Lambert problem, Eur. Phys. J. Spec. Top. 229 (2020) 1405-1417.  pdf-file

• D. Arcoya, C. Bereanu, P.J. Torres, Lusternik-Schnirelman theory for the action integral of the Lorentz force equation, Calc. Var. (2020), 59:50.   pdf-file

• M. Kunze, R. Ortega, Escaping orbits are rare in the quasi-periodic Fermi-Ulam ping-pong, Ergodic Theory Dynam. Systems 40 (2020), 975-991.   pdf-file

• A. Margheri, M. Misquero, A dissipative Kepler problem with a family of singular drags, Celestial Mech. Dynam. Astronom. 132 (2020), no. 3, Paper No. 17, 28 pp.   pdf-file

• S. Maro, V. Ortega, Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex, J. Differential Equations 269 (2020), no. 4, 3624-3651.   pdf-file

• M. Misquero, R. Ortega, Some rigorous results on the 1:1 resonance of the spin-orbit problem, SIAM J. Appl. Dyn. Syst. 19 (2020), no. 4, 2233-2267.  pdf-file

• D. Rojas, P.J. Torres, Bifurcation of relative equilibria generated by a circular vortex path in a circular domain, DCDS-B 25 (2020), no. 2, 749-760.   https://arxiv.org/abs/1702.07868

• A.J. Urena, To what extent are unstable the maxima of the potential?, Annali di Matematica Pur. Appl. 199 (2020), no. 5, 1763-1775. pdf-file

2019

• D. Arcoya, C. Bereanu, P.J. Torres, Critical point theory for the Lorentz force equation, Archive for Rational Mechanics and Analysis 232 (2019), no. 3, 1685-1724.   pdf-file

• U. Baltaeva, P.J. Torres, Analogue of the Gellerstedt problem for a loaded equation of the third order, Mathematical Methods in the Applied Sciences 42, Iss. 11 (2019), 3865-3876. https://www.ugr.es/~ptorres/docs/Gellerstedt-v4.pdf

• J. Belmonte-Beitia, F. Gungor, P.J. Torres, Explicit solutions with non-trivial phase of the inhomogeneous coupled two-component NLS system, J. Phys. A: Math. Theor. 53 (2019), no. 1, 749-760. https://www.researchgate.net/publication/337177636_Explicit_solutions_with_non-trivial_phase_of_the_inhomogeneous_coupled_two-component_NLS_system

• C. Bereanu, P.J. Torres, A variational approach for the Neumann problem in some FLRW spacetimes, Adv. Nonlinear Stud. 19  (2019), no. 2, 413-423.   https://www.ugr.es/~ptorres/docs/variationalFLRW-final.pdf

• A. Boscaggin, R. Ortega, L. Zhao, Periodic solutions and regularization of a Kepler problem with time-dependent perturbation, Trans. Amer. Math. Soc. 372 (2019), no. 1, 677-703.   pdf-file

• A. Cima, A. Gasull, F. Manosas, R. Ortega, Smooth linearization of planar periodic maps, Math. Proc. Camb. Phil. Soc. 167 (2019), 295-320. pdf-file

• R. Enguica, R. Ortega, Functions with average and bounded motions of a forced discontinuous oscillator, Journal of Dynamics and Differential Equations 31 (2019) 1185-1198.   pdf-file

• A. Fonda, A.J. Urena, A Poincare-Birkhoff theorem for Hamiltonian flows on non-convex domains, J. Math. Pures Appl. (9) 129 (2019), 131-152.   pdf-file

• B. Gebhard, R. Ortega, Stability of periodic solutions of the N-vortex problem in general domains, Regul. Chaotic Dyn. 24 (2019), no. 6, 649-670. pdf-file

• Q. Liu, P.J. Torres, M. Xing, Modulated amplitude waves with non-trivial phase of multi-component Bose-Einstein condensates in optical lattices, IMA J. Appl. Math. 84  (2019), n.1, 145-170. https://www.ugr.es/~ptorres/docs/IMA_2018_final.pdf

• R. Ortega, Periodic differential equations in the plane. A topological perspective. De Gruyter Series in Nonlinear Analysis and Applications 29 https://www.degruyter.com/viewbooktoc/product/490214   Preliminary version entitled Topology of the plane and periodic differential equations.

• R. Ortega, D. Rojas, Periodic oscillators, isochronous centers and resonance, Nonlinearity 32 (2019) 800-832  pdf-file

• R. Ortega, D. Rojas, A proof of Bertrand's theorem using the theory of isochronous potentials, J. Dyn. Diff. Eqns. 31(2019) 2017-2028   pdf-file

• D. Qian, P.J. Torres, P. Wang, Periodic solutions of second order equations via rotation numbers, J. Differential Equations 266  (2019) 4746-4768  https://www.ugr.es/~ptorres/docs/116.pdf

2018

• G. Dai, A. Romero, P.J. Torres, Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaitre-Robertson-Walkering spacetimes, J. Diff. Equs. 264 (2018) 7242-7269  pdf-file

• Q. Liu, P.J. Torres, C. Wang, Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior, Annals of Physics 395 (2018) 26-44  pdf-file

• M. Misquero, Resonance tongues in the linear Sitnikov equation,  Celestial Mechanics and Dynamical Astronomy 130 (2018), no. 4, Art. 30.   pdf-file

• R. Ortega, V. Ortega, P.J. Torres, Vortex stability under the influence of an external periodic flow,  Nonlinearity 31 (2018) 1849-1867  pdf-file

• D. Rojas, The monotonicity of the apsidal angle using the theory of potential oscillators, Qual. Theory Dyn. Syst. 17 (2018), no. 3, 631-635   pdf-file

• D. Rojas, J. Villadelprat, A criticality result for polycycles in a family of quadratic reversible centers, Journal of Differential Equations 264 (2018) 6585-6602  pdf-file

• A. Ruiz-Herrera, P.J. Torres, Effects of diffusion on total biomass in simple metacommunities, J. Theoretical Biology 447 (2018) 12-24  pdf-file

• A.J. Urena, The spectrum of reversible minimizers, Regul. Chaotic Dyn. 23 (2018), no. 3, 248-256.   pdf-file

2017

• F. Adrian, F. Tojo, P.J. Torres, Green's functions of partial differerential equations with involution, Journal of Applied Analysis and Computation 7 (2017)  1127-1238 pdf-file

• C. Bereanu, D. de la Fuente, A. Romero, P.J. Torres, Existence and multiplicity of entire radial spacelike graphs with prescribed mean curvature function in certain Friedmann-Lemaitre-Robertson-Walker spacetimes, Communications in Contemporary Mathematics  19 (2017)  1650006 pdf-file

• J. Calvo, J. Campos, V. Caselles, O. Sanchez, J. Soler, Qualitative behavior for flux-saturated mechanisms: travelling waves, waiting times and smoothing effects, J. Eur. Math. Soc. 19 (2017), no. 2, 441-472   pdf-file

• J. Campos, R. Obaya, M. Tarallo, Favard theory for the adjoint equation and Fredholm alternative, J. Differential Equations 262  (2017), no. 2, 749-802. pdf-file

• J. Chu, Z. Liang, P.J. Torres, Z. Zhou, Existence and stability of periodic oscillations of a rigid dumbell satellite around its center of mass, Discrete and Continuous Dynamical Systems B 22  (2017) 2971-3006 pdf-file

• D. de la Fuente, J.J. Salamanca, El movimiento rigido en Relatividad: paradojas de Bell y Ehrenfest  Revista Espanola de Fisica 31 (2017), no.1, 11-15   pdf-file

• D. de la Fuente, A. Romero, P.J. Torres, Existence and extendibility of rotationally symmetric graphs with a prescribed higher mean curvature function in Euclidean and Minkowski spaces, J. Math. Anal. Appl. 451  (2017) 976-989 pdf-file

• D. de la Fuente, A. Romero, P.J. Torres, Uniform circular motion in General Relativity: existence and extendibility of the trajectories, Class. Quant. Grav. 34 (2017), no. 17, 125016  pdf-file

• D. de la Fuente, P.J. Torres, A new relativistic extension of the harmonic oscillator satisfying an isochronicity principle, Qualitative Theory of Dynamical Systems 34 (2017) 579-589 pdf-file

• A. Fonda, A.J. Urena, A higher dimensional Poincare-Birkhoff theorem for Hamiltonian flows,  Ann. I. H. Poincare AN 34 (2017) 679-698  pdf-file

• F. Gungor, P.J. Torres, Lie point symmetry analysis of a second order differential equation with singularity, J. Math. Anal. Appl. 446  (2017) 1046-1059  https://arxiv.org/pdf/1612.07080.pdf

• M. Kunze, R. Ortega, Almost surely recurrent motions in the Euclidean space, Proc. Am. Math. Soc. 145 (2017) 4345-4351 pdf-file

• A. Margheri, R. Ortega, C. Rebelo, First integrals for the Kepler problem with linear drag, Celestial Mechanics and Dynamical Astronomy 127 (2017) 35-48 pdf-file

• A. Margheri, R. Ortega, C. Rebelo, On a family of Kepler problems with linear dissipation, Rend. Istit. Mat. Univ. Trieste 49 (2017) 265-286  pdf-file

• A.J. Urena, A counterexample for singular equations with indefinite weight, Adv. Nonlinear Stud. 17 (2017), no. 3, 497-516. pdf-file

• R. Ortega, Stability of periodic solutions of Hamiltonian systems with low dimension, Rend. Sem. Matem. Univ. Politec. Torino 75 (2017) 53-78  pdf-file

2016

• A. Boscaggin, R. Ortega, Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability, Journal of Differential Equations 261 (2016) 2528-2551  pdf-file  Counterexample: B. Gebhard, A note concerning a property of symplectic matrices   https://arxiv.org/abs/1711.07255

• J. Calvo, J. Campos, V. Caselles, O. Sanchez, J. Soler, Pattern formation in a flux limited reaction diffusion equation of porous media type, Invent. Math. 206 (2016), no. 1, 57-108   pdf-file

• J. Campos, R. Obaya, M. Tarallo, Recurrent equations with sign and Fredholm alternative  Discrete Contin. Dyn. Syst. Ser. S 9  (2016), no. 4, 959-977 pdf-file

• J. Campos, J. Soler, Qualitative behavior and travelling waves for the flux-saturated porous media equation in optimal mass transportation, Nonlinear Anal. 137 (2016), 266-290.

• J. Chu, P. J. Torres, F. Wang, Twist periodic solutions for differential equations with a combined attractive-repulsive singularity, Journal of Mathematical Analysis and Applications 437 (2016) 1070-1083  pdf-file

• A. Fonda, A. J. Urena, A higher dimensional Poincare-Birkhoff theorem without monotone twist, C. R.  Acad. Sci. Paris Ser I  354  (2016) 475-479  pdf-file

• A. Margheri, P.J. Torres, Chaotic dynamics of the Kepler problem with oscillating singularity, Advanced Nonlinear Studies 16 (2016) 551-567 pdf-file

• J. Mawhin, P. J. Torres, Prescribed mean curvature graphs with Neumann boundary conditions in some FLRW spacetimes, J. Differential Equations 261  (2016) 7145-7156  

• R. Ortega, Symmetric periodic solutions in the Sitnikov problem, Archiv der Mathematik 107 (2016) 405-412  pdf-file

• R. Ortega, Translation arcs and stability in two dimensions. Difference equations, discrete dynamical systems and applications 201-221, Springer Proc. Math. Stat. 180, Springer, Berlin 2016  pdf-file

• S. Perez-Gonzalez, J. Torregrosa, P. J. Torres, Existence and uniqueness of limit cycles for generalized phi-Laplacian Lienard equations, Journal of Mathematical Analysis and Applications 439 (2016) 745-765  pdf-file

• A.J. Urena, Periodic solutions of singular equations, Topological Methods in Nonlinear Analysis 47 (2016) 55-72   pdf-file

2015

• M. Arias, J. Campos, Fast solutions and asymptotic behavior in a reaction-diffusion equation, J. Differential  Equations 259  (2015) 5406-5439

• J. Calvo, J. Campos, V. Caselles, O. Sanchez, J. Soler, Flux-saturated porous media equations and applications, EMS Surv. Math. Sci. 2 (2015)   pdf-file

• J. Chu, P.J. Torres, F. Wang, Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem, Discrete and Continuous Dynamical Systems A 35 (2015) 1921-1931 pdf-file

• A. Cima, A. Gasull, F. Manosas, R. Ortega, Linearization of planar involutions in C^1, Annali di Matematica Pura ed Applicata 194  (2015) 1349-1357 pdf-file

• D. de la Fuente, A. Romero, Uniformly accelerated motion in General Relativity: completeness of inextensible trajectories, General Relativity and Gravitation 47 (2015) art. 33 pdf-file

• D. de la Fuente, A. Romero, P.J. Torres, Radial solutions of the Dirichlet problem for the prescribed mean curvature equation in a Robertson-Walker spacetime, Advanced Nonlinear Studies 15 (2015) 171-182 pdf-file

• D. de la Fuente, A. Romero, P.J. Torres, Entire spherically symmetric spacelike graphs with prescribed mean curvature function in Schwarzchild and Reissner-Nordstrom spacetimes, Classical and Quantum Gravity 32 (2015) 035018 pdf-file

• D. de la Fuente, A. Romero, P.J. Torres, Unchanged direction motion in General Relativity: the problem of prescribing acceleration and the extensibility of trajectories, J. Math. Phys. 56 (2015) 112501 pdf-file

• C. Escudero, P.J. Torres, Existence of radial solutions to biharmonic k-Hessian equations, Journal of Differential Equations 259 (2015) 2732-2761 pdf-file

• Q, Liu, P.J. Torres, D. Qian, Periodic, quasi-periodic and unbounded solutions of radially symmetric systems with repulsive singularities at resonance, Nonlinear Differential Equations and Applications NoDEA 22 (2015) 1115-1142 pdf-file

• S. Maro, Relativistic pendulum and invariant curves, Discrete and Continuous Dynamical Systems A 35 (2015) 1139-1162 pdf-file

• S. Maro, Chaotic dynamics in an impact problem, Annales Henri Poincare 16 (2015) 1633-1650 pdf-file

• R. Ortega, J.J. Sanchez-Gabites, A homotopical property of attractors, Topological Methods in Nonlinear Analysis 46 (2015) 1089-1106 pdf-file

• P.J. Torres, Mathematical Models with singularities-A Zoo of Singular Creatures, Atlantis Press, 2015

• P.J. Torres, Periodic oscillations of a model for membrane permeability with fluctuating environmental conditions, J. Mathematical Biology 71 (2015) 57-68 pdf-file

2014

• A. Boscaggin, R. Ortega, Monotone twist maps and periodic solutions of systems of Duffing type, Math. Proc. Cambridge Phil. Soc. 157 (2014) 279-296 pdf-file

• A. Boscaggin, R. Ortega, F. Zanolin, Subharmonic solutions of the forced pendulum equation: a symplectic approach, Archiv der Mathematik 102 (2014) 459-468 pdf-file

• J. Campos, M. Tarallo, Almost automorphic linear dynamics by Favard theory, Journal of Differential Equations 256 (2014) 1350-1367

• C. Escudero, R. Hakl, I. Peral, P.J. Torres, Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth, Mathematical Models in the Applied Sciences 37 (2014) 793-807 pdf-file

• M. Garrione, M. Zamora, Periodic solutions of the Brillouin electron beam focusing equations, Communications in Pure and Applied Analysis 13 (2014) 961-974 pdf-file

• R. Hakl, M. Zamora, On the open problems connected to the results of Lazer and Solimini, Proc. Roy. Soc. Edinburgh. Section A: Matematics 144 (2014) 109-118 pdf-file

• A. Margheri, R. Ortega, C. Rebelo, Dynamics of Kepler problem with linear drag, Celestial Mechanics and Dynamical Astronomy 120 (2014) 19-38 pdf-file

• A. Margheri, C. Rebelo, P.J. Torres, On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs, Journal of Mathematical Analysis and Applications 413 (2014) 660-667 pdf-file

• S. Maro, A mechanical counterexample to KAM theory with low regularity, Physica D: Nonlinear Phenomena 283 (2014) 10-14 pdf-file

• R. Ortega, A forced pendulum equation without stable periodic solutions of a fixed period, Portugaliae Mathematica 71 (2014) 193-216 pdf-file

• A. Ruiz-Herrera, F. Zanolin, An example of chaotic dynamics in 3D systems via stretching along paths, Annali di Matematica Pura ed Applicata 193 (2014) 163-185 pdf-file

• P.J. Torres, Modulated amplitude waves with non-trivial phase in quasi 1-D inhomogeneous Bose-Einstein condensates, Physics Letters A 378 (2014) 3285-3288 pdf-file

• M. Zamora, On a periodically forced Lienard differential equation with singular phi-Laplacian, Bull. Mathematique de la Societe des Sciences Mathematiques de Roumanie 57 (105) (2014) 327-336 pdf-file

2013

• C. Bereanu, D. Gheorghe, M. Zamora, Nonresonant boundary value problems with singular phi-Laplacian operators, Nonlinear Differential Equations and Applications 20 (2013) 1365-1377 pdf-file

• C. Bereanu, D. Gheorghe, M. Zamora, Periodic solutions for the singular pertubations of the singular phi-Laplacian operator, Communications in Contemporary Mathematics 15 (2013) 125003 (22 pages) pdf-file

• C. Bereanu, P. Jebelean, P.J. Torres, Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space, Journal of Functional Analysis 264 (2013) 270-287 pdf-file

• C. Bereanu, P. Jebelean, P.J. Torres, Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space, Journal of Functional Analysis 265 (2013) 644-659 pdf-file

• A. Boscaggin, P.J. Torres, Periodic motions of fluid particles induced by a prescribed vortex path in a circular domain, Physica D 261 (2013) 81-84 pdf-file

• J. Campos, P. Guerrero, O. Sanchez, J. Soler, On the analysis of travelling waves to a nonlinear flux limited reaction-diffusion equation, Annales de l'Institut Henri Poincare Analyse Non Lineaire 30 (2013) 141-155 pdf-file

• J. Campos, M. Tarallo, Nonmonotone equations with large almost periodic forcing terms, Journal of Differential Equations 254 (2013) 686-724 pdf-file

• J.A. Cid, P.J. Torres, On the existence and stability of periodic solutions for pendulum-like equations with friction and $\phi$-Laplacian, Discrete and Continuous Dynamical Systems 33 (2013) 141-153 pdf-file

• C. Escudero, R. Hakl, I. Peral, P.J. Torres, On the radial stationary solutions to a model of nonequilibrium growth, European Journal of Applied Mathematics 24 (2013) 437-453 pdf-file

• A. Gutierrez, P.J. Torres, Non-autonomous saddle-node bifurcation in a canonical electrostatic MEMS, International Journal of Bifurcation and Chaos 23 (2013) 1350088 (9 pages) pdf-file

• R. Hakl, M. Zamora, Periodic solutions to the Lienard type equations with phase attractive singularities, Boundary Value Problems 2013: 47 doi:10.1186/1687-2770-2013-47 pdf-file

• R. Hakl, M. Zamora, Existence of a solution to a Dirichlet problem associated to second order equations with singularities: method of lower and upper functions, Georgian Math. J. 20 (2013) 469-491 pdf-file

• Q.D. Katatbeh, P.J. Torres, Existence of periodic and solitary waves for a Nonlinear Schrodinger Equation with Nonlocal Integral Term of convolution type , Communications in Nonlinear Science and Numerical Simulation 18 (2013) 1136-1142 pdf-file

• M. Kunze, R. Ortega, Twist mappings with non-periodic angles, Stability and bifurcation theory for non-autonomous differential equations, Lecture Notes in Mathematics, Springer, 2013, 267-302 pdf-file

• M. Kunze, R. Ortega, Long-time stability estimates for the non-periodic Littlewood boundedness problem, Proc. London Math. Soc. 107 (2013) 39-75 pdf-file

• S. Maro, Coexistence of bounded and unbounded motions in a bouncing ball model, Nonlinearity 26 (2013) 1439-1448 pdf-file

• S. Maro, Periodic Solutions of a Forced Relativistic Pendulum via Twist Dynamics,Topological Methods in Nonlinear Analysis 42 (2013) 51-75 pdf-file

• R. Navarro, R. Carretero-Gonzalez, P.J. Torres, P.G. Devrekidis, D.J. Frantzeskakis, M.W. Ray, E. Altuntas, D.S. Hall, Dynamics of Few Co-rotating Vortices in Bose-Einstein Condensates, Physical Review Letters 110 (2013) 225301 (6 pages) pdf-file

• R. Ortega, Prevalence of non-degenerate periodic solutions in the forced pendulum equation, Advanced Nonlinear Studies 13 (2013) 219-229 pdf-file

• R. Ortega, Stable periodic solutions in the forced pendulum equation, Regular and Chaotic Dynamics 18 (2013) 585-599 pdf-file

• A. Ruiz-Herrera, Chaos in Delay Differential Equations with Applications in Population Dynamics, Discrete and Continuous Dynamical Systems 33 (2013) 1633-1644

• A. Ruiz-Herrera, Exclusion and dominance in discrete population models via the Carrying Simplex, Journal of Difference Equations and Applications 19 (2013) 96-113 pdf-file

• A. Ruiz-Herrera, P.J. Torres, Periodic solutions and chaotic dynamics in forced impact oscillators, SIAM J Applied Dynamical Systems 12 (2013) 383-414 pdf-file

• P.J. Torres, P. Madhusudhanan, L.W. Exposito, Mathematical analysis of a model for moon-triggered clumping in Saturn's rings, Physica D 259 (2013) 55-62 pdf-file

• P.J. Torres, A.J. Urena, M. Zamora, Periodic and quasi-periodic motions of a relativistic particle under a central force field, Bulletin of the London Mathematical Society 45 (2013) 140-152 pdf-file

• P.J. Torres, Z. Cheng, J. Ren, Non-degeneracy and Uniqueness of Periodic Solutions for 2n-order Differential Equations , Discrete and Continuous Dynamical Systems A 33 (2013) 2155 - 2168 pdf-file

• A.J. Urena, Instability of periodic minimals, Discrete and Continuous Dynamical Systems 33 (2013) 345-357 pdf-file

• M. Zamora, New periodic and quasi-periodic motions of a relativistic particle under a planar central force field with applications to scalar boundary periodic problems, E. J. Qualitative Theory of Diff. Equs. 31 (2013) 1-16 EJQTDE

2012

• C. Bereanu, P.J. Torres, Existence of at least two periodic solutions of the forced relativistic pendulum, Proc. Am. Math. Soc. 140 (2012) 2713-2719 pdf-file

• D. Bonheure, P.J. Torres, Bounded and homoclinic like solutions of a second order singular differential equation, Bulletin London Math. Soc 44 (2012) 47-54. pdf-file

•  A. Buica, R. Ortega, Persistence of equilibria as periodic solutions of forced systems, Journal of Differential Equations 252 (2012) 2210-2221 pdf-file

• J. Chu, N. Fan, P.J. Torres, Periodic solutions for second order singular damped differential equations, Journal of Mathematical Analysis and Applications 388 (2012) 665-675 pdf-file

• A. Fonda, R. Toader, P.J. Torres, Periodic motions in a gravitational central field with a rotating external force, Celestial Mechanics and Dynamical Astronomy, 113 (2012) 335-342 pdf-file

• A. Gutierrez, P.J. Torres, The Lazer-Solimini equation with state-dependent delay, Applied Mathematics Letters 25 (2012) 643-647 pdf-file

• R. Hakl, P.J. Torres, M. Zamora, Periodic solutions of singular second order differential equations: the repulsive cases,Topological Methods in Nonlinear Analysis 39 (2012) 199-220 pdf-file

• L. Hernandez-Corbato, R. Ortega, F. R. Ruiz del Portal, Attractors with irrational rotation number, Math. Proc. Camb. Phil. Soc. 153 (2012) 59-77 pdf-file

• E. Liz, A. Ruiz-Herrera, Chaos in discrete structured population models, SIAM J. Applied Dynamical Systems 11 (2012) 1200-1214 pdf-file

• E. Liz, A. Ruiz-Herrera, The hydra effect, bubbles, and chaos in a simple discrete population model with constant effort harvesting, Journal of Mathematical Biology 65 (2012) 997-1016, pdf-file

• A. Margheri, R. Ortega, C. Rebelo, Some analytical results about periodic orbits in the restricted three body problem with dissipation, Celestial Mechanics and Dynamical Astronomy 113 (2012) 279-290 pdf-file

• R. Ortega, The complex periodic problem for a Riccati equation, Annals of the University of Bucharest (mathematical series) 3 (LXI) (2012), 219-226 pdf-file

• R. Ortega, A. Ruiz-Herrera, Index and persistence of stable Cantor sets, Rendiconti dell'Istituto di Matematica dell'Universita di Trieste 44 (2012) 33-34, pdf-file

• A. Ruiz-Herrera, Chaos in Predator Prey Systems With/Without Migration, Nonlinear Analysis: Real World and Applications 13 (2012) 977-986 pdf-file

• A. Ruiz-Herrera, Topological Criteria of Global Attraction with Applications in Population Dynamics, Nonlinearity 25 (2012) 2823-2841 pdf-file

1994 - 2011

 

• R. Ortega: Archiv der Mathematik, Communications on Pure and Applied Analysis, Evolution Equations and Control Theory, Nonlinear Differential Equations and Applications NoDEA, Qualitative Theory of Dynamical Systems, Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, Studia Universitatis Babes-Bolyai Mathematica , Zeitschrift fur Angewandte Mathematik und Physik ZAMP.

• P.J.Torres: Differential Equations and Applications, Qualitative Theory of Dynamical Systems, SEMA Journal.

Visitors and conferences:

2019/2020

• March 16-April, 3. Carlos Barrera, UNAM

• January 13-March, 18. Henrik Schliessauf, University of Cologne, "Escaping sets of almost periodic successor maps"

• January 27-31. Stefano Maro, Universita di Pisa

• February 24-29. Jose Maria Gomes (Faculdade de Ciencias e Tecnologia da Universidade Nova, Lisbon). "Geometric measure theory"

2018/2019

• March 10-17. Maria Clara Gracia, Universidad de Evora, "Synchronization in networks"

• February 6-17. Slawomir Rybicki, Nicolaus Copernicus University, Torun, "Symmetric Lyapunov Center Theorem"

• November 25-December 8. Anna Golebiewska,  Nicolaus Copernicus University, Torun, "Degree for equivariant gradient operators"

• September 18-October 2. Wen-Xin Qin, Soochow University, "Birkhoff and Non-Birkhoff solutions for monotone recurrence relations"

2017/2018

• April 30-May 4. Grzegorz Graff, Gdansk University of Technology

• April 24-May 23.  Faruk Gungor, Istanbul Technical University, "Super-integrability with higher order Painleve trascendent potentials"
  
  
• April 16. Antonio Tineo, Universidad de Los Andes, Merida, "Un sistema de presa-depredador tridiagonal"

• April 1-June 30. Umida Valtaeva, National University of Uzbekistan

• February 1-28. Cristian Bereanu, Institut of Mathematics Simion Stoilov, Bucarest. "A variational approach for the Neumann problem in some FLRW spacetimes"

• November 13-17. Vivina Barutello, Universita degli Studi di Torino

• November 13-17. Gianmaria Verzini, Politecnico di Milano

• September 11-October 20. Bjorn Gebhard, Justus-Liebig-Universitat Giessen, "The N-vortex problem--Periodic solutions consisting of clusters"
  

2016/2017

• May 15-19. Alfonso Ruiz Herrera, Universidad de Oviedo

• May 8-12, Markus Kunze, Universitat Koln

• April 27-30, Mohamed Belhaq, Universidad Hassan II, Casablanca

• April 19-28, Meirong Zhang, Tsinghua University, "Solutions and eigenvalues of measure differential equations"

• March 20-24, Andrea Sfecci, Universita Politecnica delle Marche (Ancona), "Dynamics of radial elliptic PDEs: the Fowler transformation"

• March 1-31, Cristian Bereanu, Institut of Mathematics Simion Stoilov, Bucarest

• December 4-6, Andres Mauricio Salazar Rojas, Universidad Pontificia Javeriana de Cali, "Curvatura en planas empotradas"

• November 14-16, Xian Liao, Universitat Bonn, "Global regularity of the density patch problem for two dimensional inhomogeneous incompressible flow"

• November 14-16, Lei Zhao, Nankai University

• November 4-18, Cristian Bereanu, Institute of Mathematics Simion Stoilov, Bucarest, "Periodic solutions for some singular perturbations with weight of the relativistic acceleration"

• October 19-November 1, Faruk Gungor, Istanbul Technical University, "Construction of Heat Kernels by Lie Symmetry Group Methods"
  

• September 27, David Rojas, postdoc visitor Universidad de Granada, "Analytical tools to study the criticality at the outer boundary of potential centers"
  

2015/2016

• June 14-17, Lei Zhao, Nankai University

• June 13-17, Alberto Boscaggin, Universita di Torino

• May 17-27, Jean Mawhin, Universite Catholique de Louvain, "Difference vs. Differential Equations: some case stories"

• May 9-3, Alessandro Margheri, Universidade de Lisboa

• May  9-13, Carlota Rebelo, Universidade de Lisboa

• March 7-11, Ricardo Roque Enguica, Instituto Superior de Ingenieria de Lisboa, "Some considerations on fourth order bvps in bounded intervals"

• February 8-12, Alessandro Fonda, Universita di Trieste, "Generalizing the Lusternik-Schnirelmann critical point theory"

• February 8-12, Paolo Gidone, SISSA Trieste, "Twist condition for a higher dimensional Poincare-Birkhoff Theorem: an avoiding cones formulation"

• February 5, Andres Rivera, Universidad Pontificia Javeriana de Cali

• January 19-22, Alfonso Ruiz Herrera, Universidad de Vigo

• January 13, Xavier Jarque, Universitat de Barcelona, "Wandering domains in holomorphic dynamics"

• November 9-13, Markus Kunze, Universitat Koln

• October 8-9, Francisco Romero Ruiz del Portal, Universidad Complutense

• September 30-October 1, Jose Luis Bravo, Universidad de Extremadura, "El problema del centro-foco y las integrales abelianas cero-dimensionales"

2014/2015

• August 31-September 4, Stefano Maro, Universita di Pisa, "Ecuaciones polinomiales para descubrir asteroides"

• April 28-May 4, Lei Zhao, University of Groningen, "Regularization and perturbation of the Kepler problem"

• March 2-27, Diana Herlea, Universitatea Babes-Bolyai, "Existence, localization and multiplicity of  positive solutions to phi-Laplace equations and systems"

• March 2-27, Angela Budescu, Universitatea Babes-Bolyai, "Variational properties of the solutions of semilinear equations or systems"

• February 11-25, Cristian Bereanu, Institute of Mathematics of the Romanian Academy, "Periodic solutions for singular perturbations of the relativistic acceleration"

• February 11-18, Petru Jebelean, Universidad de Timisoara, "Discontinuous perturbations of singular Laplacians"

• January 9-February 8,  Begona Alarcon Cotillas, Universidade Federal Fluminense, Brasil

• January 7-30, Maitere Aguerrea Planas, Universidad Catolica del Maule, Talca, Chile, "Positive traveling fronts in reaction-diffusion equations with delays"

• December 1-5, Markus Kunze, Universitat Koln

• October 20-24, Adrian Fernandez Tojo, Universidad de Santiago de Compostela, "Problemas lineales con involuciones: calculo de la funcion de Green y aplicaciones"

• October 13-17, Thomas Bartsch, Universitat Giessen,  "On the dynamics on the N-vortex problem"

2013/2014

• July 3-6, Dmitry Pelinovsky, Mc Master University, Canada, "Bifurcations of asymmetric vortices in symmetric harmonic traps"

• June 29-July 3, Silvestro Fassari, Universita Telematica Guglielmo Marconi, Italy, "Remarks on the heat equation with a point perturbation, the Feynman-Kac formula with local time and derivative pricing"

• June 12, Laszlo Szekelyhidi, Universidad de Debrecen, "Spectral synthesis and difference equations"

• June 3-4, Francisco R. Ruiz del Portal, Universidad Complutense

• May 20-27, Jean Mawhin, Universite de Louvain-La-Neuve, "Differential equations of the forced pendulum-type: a source of mathematical inspiration"

• May 8-11, Rafael Obaya, Universidad de Valladolid

• May 5-14, Massimo Tarallo, Universita di Milano

• April 21-25, Ricardo Enguica, Instituto Politecnico de Lisboa

• March 31-April 4, Jaime Sanchez Gabites, Universidad Autonoma de Madrid, "Una herramienta para obtener informacion topologica sobre compactos invariantes de flujos de R^3"

• March 17-21, Carlota Rebelo, Universidade de Lisboa

• March 17-21, Alessandro Margheri, Universidade de Lisboa

• January 20-27, Jifeng Chu, Hohai University, "Nonuniform dichotomy spectrum and reducibility for non-autonomous difference equations"

• December 10-13, Rafael Obaya, Universidad de Valladolid, "Almost-Periodic and Almost-Automorphic Dynamics for Non-Autonomous Functional Differential Equations"

• December 9-13, Markus Kunze, Universitat Koln

• December 1-January 31, David Cheban, State University of Moldova, "Belitskii-Lyubich Conjecture for C-Analytical Dynamical Systems"

• November 18-29, Cristian Bereanu, Institute of Mathematics (IMAR), Romanian Academy of Sciences, "Dirichlet problems with mean curvature operator in Minkowski space"

• November 4-8, Alberto Boscaggin, Universite di Torino, "The Neumann problem for ODEs with indefinite weight: existence and multiplicity"

1996/1997 - 2012/2013

Ph. Dissertations

• Manuel Garzon, Periodic Motions in Singular Electromagnetic Fields and Twist Dynamics, Universidad de Granada,  Diciembre 2022. pdf-file

• Victor Ortega, Theory of Symplectic Twist Maps applied to Point-vortex Dynamics, Universidad de Granada,  Mayo 2021. pdf-file

• Mauricio Misquero, Some dissipative problems in celestial mechanics, Universidad de Granada y Universidad Tor Vergata de Roma,  Diciembre 2020. pdf-file

• Daniel de la Fuente, Some problems on prescribed mean curvature and kinematics in general relativity, Universidad de Granada,  June 2016. pdf-file

• Stefano Maro, Symplectic methods in ODEs, Universita degli Studi di Torino,  February 2014. pdf-file

• Manuel Zamora Clemente, Boundary value problems on differential equations with singularities, Universidad de Granada,  September 2013. pdf-file

• Alfonso Ruiz Herrera, Population dynamics from a topological point of view, Universidad de Granada,  April 2013. pdf-file

• Alexander Gutierrez, Existencia y estabilidad de soluciones periodicas en ecuaciones con singularidades, Universidad de Granada,  June 2012. pdf-file

• Andres M. Rivera, Bifurcacion de soluciones periodicas en el problema de Sitnikov, Universidad de Granada,  May 2012. pdf-file

• Naeem Alkouimi, The number of limit cycles of a generalized Abel equation, Universidad de Granada,  October 2010. pdf-file

• Maria Jose Romero Valles, Propiedades dinamicas de un modelo con impactos: caida de granos sobre un perfil escalonado, Universidad de Granada,  November 2008. pdf-file

• Rogerio Martins, Dinamica de sistemas dissipativos e nao-autonomos com uma coordenada angular, Universidade de Lisboa, 2005. pdf-file

• Antonio J. Urena, Nonlinear boundary value problems, Universidad de Granada, November 2002. pdf-file

• Daniel Nunez, Estabilidad de oscilaciones periodicas en una ecuacion de Newton no autonoma, Universidad de Granada, November 2001. pdf-file

• Aureliano M. Robles-Perez, Las soluciones periodicas de una ecuacion de la cuerda vibrante, Universidad de Granada, September 2000. pdf-file

• Luis Angel Sanchez, Sistemas monotonos, grado topologico y estabilidad orbital en tres dimensiones, Universidad de Granada, July 2000. (No ps-file available, the author will send a copy if requested)

• Pedro J. Torres, Estudio cualitativo de ecuaciones diferenciales con termino no lineal singular, Universidad de Granada, March 1998. pdf-file

• Juan Campos, Espectro de Fucik para operadores elipticos, Universidad de Granada, July 1996. pdf-file

• Rafael Ortega, Estudio cualitativo del rango de operadores diferenciales elipticos semilineales, Universidad de Granada, December 1984. pdf-file

More information:

homepages

• Margarita Arias www.ugr.es/local/marias

• Rafael Ortega www.ugr.es/local/rortega

• Pedro J. Torres www.ugr.es/local/ptorres

• Antonio J. Urena www.ugr.es/local/ajurena

and more...

• Homenaje a Jean Mawhin, Sevilla, April 4-5, 2003 poster

• Recent Trends on Nonlinear Science, Granada, February 5-9, 2007 web page

• Interdisciplinary Workshop on Periodic Oscillations, Granada, October 20-23, 2009  schedule    abstracts

• Interdisciplinary Workshop on Quantum Mechanics and Dynamical Systems, Granada, October 8-10, 2011 schedule

• Differential Equations in Granada: a One Day Workshop, Granada, September 17, 2013  list of speakers

• DANCE NET (Dinamica, Atractores y Nolinealidad: Caos y Estabilidad) web page