Oscillatory motions for the restricted planar circular three body problem M Guardia, P Martín, TM Seara Inventiones mathematicae 203 (2), 417-492, 2016 | 65 | 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 | 50 | 2007 |
Differentiable invariant manifolds for partially hyperbolic tori and alambda lemma E Fontich, P Martín Nonlinearity 13 (5), 1561, 2000 | 50 | 2000 |
Arnold diffusion in perturbations of analytic integrable Hamiltonian systems E Fontich, P Martín Discrete and Continuous Dynamical Systems 7 (1), 61-84, 2001 | 49 | 2001 |
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 | 28* | 2017 |
Exponentially small splitting of separatrices in the perturbed McMillan map P Martín, D Sauzin, TM Seara Centre de Recerca Matemàtica, 2009 | 26 | 2009 |
Resurgence of inner solutions for perturbations of the McMillan map P Martín, D Sauzin, TM Seara Centre de Recerca Matemàtica, 2009 | 21 | 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 | 20 | 2003 |
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 | 19 | 2020 |
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 | 18* | 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 | 16 | 2021 |
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 | 13 | 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 | 11 | 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 |
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 | 9 | 2021 |
The inner equation for generalized standard maps I Baldomá, P Martín SIAM journal on applied dynamical systems 11 (3), 1062-1097, 2012 | 9 | 2012 |
Arnold diffusion in perturbations of analytic exact symplectic maps E Fontich, P Martı́n Nonlinear Analysis: Theory, Methods & Applications 42 (8), 1397-1412, 2000 | 9 | 2000 |
Novel slow–fast behaviour in an oscillator driven by a frequency-switching force C Bonet, MR Jeffrey, P Martín, JM Olm Communications in Nonlinear Science and Numerical Simulation 118, 107032, 2023 | 8 | 2023 |
Whiskered Parabolic Tori in the Planar -Body Problem I Baldomá, E Fontich, P Martín Communications in Mathematical Physics 374 (1), 63-110, 2020 | 8 | 2020 |
Hyperbolic dynamics and oscillatory motions in the 3 body problem M Guardia, P Martín, J Paradela, TM Seara arXiv preprint arXiv:2207.14351, 2022 | 7 | 2022 |