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Inmaculada Baldoma
Inmaculada Baldoma
Assistant Professor of Applied Mathematics
Verified email at upc.edu
Title
Cited by
Cited by
Year
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
492012
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
492006
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
472007
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
362008
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
322004
The inner equation for one and a half degrees of freedom rapidly forced Hamiltonian systems
I Baldoma
Nonlinearity 19 (6), 1415, 2006
302006
Hopf-Zero singularities truly unfold chaos
I Baldomá, S Ibáńez, TM Seara
Communications in Nonlinear Science and Numerical Simulation 84, 105162, 2020
282020
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
262004
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
222008
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
202013
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
172017
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
152020
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
132018
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
122020
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
112018
Exponentially small splitting of separatrices in a weakly hyperbolic case
I Baldomá, E Fontich
Journal of Differential Equations 210 (1), 106-134, 2005
112005
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
92022
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
72023
The inner equation for generalized standard maps
I Baldomá, P Martín
SIAM Journal on Applied Dynamical Systems 11 (3), 1062-1097, 2012
72012
Whiskered Parabolic Tori in the Planar -Body Problem
I Baldomá, E Fontich, P Martín
Communications in Mathematical Physics 374 (1), 63-110, 2020
62020
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Articles 1–20