Oscillatory motions for the restricted planar circular three body problem M Guardia, P Martín, TM Seara Inventiones mathematicae 203 (2), 417-492, 2016 | 59 | 2016 |
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 and continuous dynamical systems 17 (4), 835, 2007 | 47 | 2007 |
Arnold diffusion in perturbations of analytic integrable Hamiltonian systems E Fontich, P Martín Discrete and Continuous Dynamical Systems 7 (1), 61-84, 2001 | 47 | 2001 |
Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma E Fontich, P Martín Nonlinearity 13 (5), 1561, 2000 | 47 | 2000 |
Oscillatory orbits in the restricted elliptic planar three body problem TMS M. Guàrdia, P. Martín Discrete and Continuous Dynamical Systems 37 (1), 229-256, 2017 | 29* | 2017 |
Exponentially small splitting of separatrices in the perturbed McMillan map P Martín, D Sauzin, TM Seara Centre de Recerca Matemàtica, 2009 | 23 | 2009 |
Resurgence of inner solutions for perturbations of the McMillan map P Martín, D Sauzin, TM Seara Centre de Recerca Matemàtica, 2009 | 19 | 2009 |
Hamiltonian systems with orbits covering densely submanifolds of small codimension E Fontich, P Martın Nonlinear Analysis: Theory, Methods & Applications 52 (1), 315-327, 2003 | 18 | 2003 |
Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points PM I. Baldomá, E. Fontich Discrete and Continuous Dynamical Systems 37 (8), 4159-4190, 2017 | 17* | 2017 |
Chaotic-like transfers of energy in Hamiltonian PDEs F Giuliani, M Guardia, P Martin, S Pasquali Communications in Mathematical Physics 384 (2), 1227-1290, 2021 | 15 | 2021 |
Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters I Baldomá, E Fontich, P Martín Journal of Differential Equations 268 (9), 5516-5573, 2020 | 15 | 2020 |
Invariant manifolds of parabolic fixed points (II). Approximations by sums of homogeneous functions I Baldomá, E Fontich, P Martín Journal of Differential Equations 268 (9), 5574-5627, 2020 | 12 | 2020 |
Dynamical systems on lattices with decaying interaction II: hyperbolic sets and their invariant manifolds E Fontich, R de la Llave, P Martín Journal of Differential Equations 250 (6), 2887-2926, 2011 | 12 | 2011 |
Dynamical systems on lattices with decaying interaction I: a functional analysis framework E Fontich, R de la Llave, P Martín Journal of Differential Equations 250 (6), 2838-2886, 2011 | 10 | 2011 |
Shear‐wave splitting study of crustal anisotropy in the New Madrid Seismic Zone P Martin, P Arroucau, G Vlahovic Bulletin of the Seismological Society of America 104 (3), 1100-1110, 2014 | 9 | 2014 |
Arnold diffusion in perturbations of analytic exact symplectic maps E Fontich, P Martı́n Nonlinear Analysis: Theory, Methods & Applications 42 (8), 1397-1412, 2000 | 8 | 2000 |
Ageing of an oscillator due to frequency switching C Bonet, MR Jeffrey, P Martín, JM Olm Communications in Nonlinear Science and Numerical Simulation 102, 105950, 2021 | 7 | 2021 |
The inner equation for generalized standard maps I Baldomá, P Martín SIAM Journal on Applied Dynamical Systems 11 (3), 1062-1097, 2012 | 7 | 2012 |
Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem MJ Capiński, M Guardia, P Martín, M Tere, P Zgliczyński Journal of Differential Equations 320, 316-370, 2022 | 6 | 2022 |
Whiskered Parabolic Tori in the Planar -Body Problem I Baldomá, E Fontich, P Martín Communications in Mathematical Physics 374 (1), 63-110, 2020 | 6 | 2020 |