Published articles

  • Ageing of an oscillator due to frequency switching.
    C. Bonet, M.R. Jeffrey, P. Martín, J.M. Olm.
    Communications in Nonlinear Science and Numerical Simulation, 102, (2021).
  • Chaotic-Like Transfers of Energy in Hamiltonian PDEs.
    F. Giuliani, M. Guardia, P. Martín, S. Pasquali.
    Communications in Mathematical Physics, 384, 1227–1290 (2021). (pdf).
  • Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs.
    F. Giuliani, M. Guardia, P. Martín, S. Pasquali.
    Rendiconti Lincei, 31(1), 149-166, (2021). (pdf).
  • Whiskered Parabolic Tori in the Planar (n + 1)-Body Problem.
    I. Baldomá, E. Fontich, P. Martín.
    Commun. Math. Phys. 374, 63–110 (2020). (pdf).
  • Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters.
    I. Baldomá, E. Fontich, P. Martín.
    Journal of Differential Equations Volume 268, Issue 9, 15 April 2020, Pages 5516-5573. (pdf).
  • Invariant manifolds of parabolic fixed points (II). Approximations by sums of homogeneous functions.
    I. Baldomá, E. Fontich, P. Martín. Journal of Differential Equations Volume 268, Issue 9, 15 April 2020, Pages 5574-5627. (pdf).
  • Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points.
    I. Baldomá, E. Fontich, P. Martín.
    Discrete Contin. Dyn. Syst. 37(8): 4159-4190, 2017, doi: 10.3934/dcds.2017177. (pdf)
  • Oscillatory orbits in the restricted elliptic planar three body problem.
    M. Guardia, P. Martín, L. Sabbagh, T. M. Seara. Discrete and continuous dynamical systems 37(1): 229-256, 2017. DOI:10.3934/dcds.2017009 (pdf)
  • Exponentially small asymptotic formulas for the length spectrum in some billiard tables.
    P. Martín, R. Ramírez-Ros, A. Tamarit-Sariol.
    Experimental Mathematics Volume 25, Issue 4, 2016.
    DOI:10.1080/10586458.2015.1076361     (pdf)
  • On the length and area spectrum of analytic convex domains.
    P. Martín, R. Ramírez-Ros, A. Tamarit-Sariol.
    Nonlinearity 29 (2016), no. 1, 198-231.
    DOI: 10.1088/0951-7715/29/1/198, 2016.     (pdf)
  • Oscillatory motions for the restricted planar circular three body problem.
    M. Guárdia, P. Martín, T. M. Seara.
    Inventiones Mathematicae. 203, 417-492, 2016.
    DOI: 10.1007/s00222-015-0591-y, 2015.     (pdf)
  • The inner equation for generalized standard maps.
    I. Baldomá, P. Martín.
    SIAM J. Appl. Dyn. Syst., 11(3), 1062-1097, 2012.
    DOI: 10.1137/110859932, 2012     (pdf)
  • Exponentially small splitting of separatrices in the perturbed McMillan map.
    P. Martín, D. Sauzin, T. M. Seara.
    Discrete and continuous dynamical systems 31(2): 301-371, 2011. (pdf)
  • Resurgence of inner solutions for perturbations of the McMillan map.
    P. Martín, D. Sauzin, T. M. Seara.
    Discrete and continuous dynamical systems 31(1): 165-207, 2011. (pdf)
  • Dynamical systems on lattices with decaying interaction II: hyperbolic sets and their invariant manifolds.
    E. Fontich, R. de la Llave, P. Martín.
    J. Differential Equations 250 (2011), no. 6, 2887-2926. (pdf)
  • Dynamical systems on lattices with decaying interaction I: a functional analysis framework.
    E. Fontich, R. de la Llave, P. Martín.
    J. Differential Equations 250 (2011), no. 6, 2838-2886. (pdf)
  • The parameterization method for one-dimensional invariant manifolds of higher dimensional parabolic fixed points.
    I. Baldomá,E. Fontich, R. de la Llave, P. Martín.
    Discrete Contin. Dyn. Syst. 17 (2007), no. 4, 835-865. (pdf)
  • Invariant pre-foliations for non-resonant non-uniformly hyperbolic systems.
    E. Fontich, R. de la Llave, P. Martín.
    Trans. Amer. Math. Soc. 358 (2006), no. 3, 1317-1345. (pdf)
  • Hamiltonian systems with orbits covering densely submanifolds of small codimension.
    E. Fontich, P. Martín.
    Nonlinear Anal. 52 (2003), no. 1, 315-327. (pdf)
  • Arnold diffusion in perturbations of analytic integrable Hamiltonian systems.
    E. Fontich, P. Martín.
    Discrete Contin. Dynam. Systems 7 (2001), no. 1, 61-84. (pdf)
  • Arnold diffusion in perturbations of analytic exact symplectic maps.
    E. Fontich, P. Martín.
    Nonlinear Anal. 42 (2000), no. 8, 1397-1412. (pdf)
  • Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma.
    E. Fontich, P. Martín.
    Nonlinearity 13 (2000), no. 5, 1561-1593. (pdf)






    • Last update June 2021.

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