Oscillatory motions for the restricted planar circular three body problem M Guardia, P Martín, TM Seara
Inventiones mathematicae 203 (2), 417-492, 2016
66 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
49 2007 Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma E Fontich, P Martín
Nonlinearity 13 (5), 1561-1594, 2000
49 2000 Arnold diffusion in perturbations of analytic integrable Hamiltonian systems E Fontich, P Martín
Discrete and Continuous Dynamical Systems 7 (1), 61-84, 2001
48 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
30 * 2017 Exponentially small splitting of separatrices in the perturbed McMillan map P Martín, D Sauzin, TM Seara
Centre de Recerca Matemàtica, 2009
25 2009 Resurgence of inner solutions for perturbations of the McMillan map P Martín, D Sauzin, TM Seara
Centre de Recerca Matemàtica, 2009
20 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
19 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
18 * 2017 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
17 2020 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
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
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 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 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 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 Whiskered Parabolic Tori in the Planar -Body Problem I Baldomá, E Fontich, P Martín
Communications in Mathematical Physics 374 (1), 63-110, 2020
7 2020