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 |