Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results I Baldomá, E Fontich, M Guardia, TM Seara
Journal of Differential Equations 253 (12), 3304-3439, 2012
49 2012 Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopf-zero singularity I Baldomá, TM Seara
Journal of Nonlinear Science 16 (6), 543-582, 2006
49 2006 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 The inner equation for generic analytic unfoldings of the Hopf-zero singularity I Baldoma, TM Seara
Discrete Contin. Dyn. Syst. Ser. B 10 (2-3), 323-347, 2008
36 2008 Stable manifolds associated to fixed points with linear part equal to identity I Baldomá, E Fontich
Journal of Differential Equations 197 (1), 45-72, 2004
32 2004 The inner equation for one and a half degrees of freedom rapidly forced Hamiltonian systems I Baldoma
Nonlinearity 19 (6), 1415, 2006
30 2006 Hopf-Zero singularities truly unfold chaos I Baldomá, S Ibáñez, TM Seara
Communications in Nonlinear Science and Numerical Simulation 84, 105162, 2020
28 2020 Exponentially small splitting of invariant manifolds of parabolic points I Baldomá, E Fontich
Memoirs of the American Mathematical Society, 2004, vol. 167, num. 792, 2004
26 2004 One dimensional invariant manifolds of Gevrey type in real-analytic maps I Baldomá, A Haro
Discrete Contin. Dyn. Syst. Ser. B 10 (2-3), 295-322, 2008
22 2008 Exponentially small heteroclinic breakdown in the generic Hopf-Zero singularity I Baldomá, O Castejón, TM Seara
Journal of Dynamics and Differential Equations 25, 335-392, 2013
20 2013 Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points I Baldomá, E Fontich, P Martin
arXiv preprint arXiv:1702.05961, 2017
17 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
15 2020 Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (I) I Baldomá, O Castejón, TM Seara
Journal of Nonlinear Science 28 (5), 1551-1627, 2018
13 2018 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 Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (II): the generic case I Baldomá, O Castejón, TM Seara
Journal of nonlinear science 28 (4), 1489-1549, 2018
11 2018 Exponentially small splitting of separatrices in a weakly hyperbolic case I Baldomá, E Fontich
Journal of Differential Equations 210 (1), 106-134, 2005
11 2005 Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation I Baldomá, M Giralt, M Guardia
Advances in Mathematics 408, 108562, 2022
9 2022 Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula I Baldomá, M Giralt, M Guardia
Advances in Mathematics 430, 109218, 2023
7 2023 The inner equation for generalized standard maps I Baldomá, P Martín
SIAM Journal on Applied Dynamical Systems 11 (3), 1062-1097, 2012
7 2012 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