Publications

Exponentially Small Splitting of Invariant Manifolds of Parabolic Points

I. Baldomá, E. Fontich, Memoirs of the AMS, (167), 792, x+83 pp, (2004), ISBN 0-8218-3445-2

Stable manifolds associated to fixed points with linear part equal to identity

I. Baldomá, E. Fontich, Journal of Differential Equations, 197, 45-72 (2004)

Exponentially small splitting of separatrices in a weakly hyperbolic case

I. Baldomá, E. Fontich, Journal of Differential Equations, 210, 106-134, (2005)

The inner equation for one and a half degrees of freedom rapidly forced Hamiltonian systems

I. Baldomá, Nonlinearity, 19, 1415-1445, (2006)

Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopf-zero singularity

I. Baldomá, T.M. Seara, Journal of Nonlinear Science, 16 (6), 543-582, (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, DCDS-A, 17 (4), 835-865, (2007).

One dimensional invariant manifolds of Gevrey type in real-analytic maps

I. Baldomá, A. Haro, DCDS-B, 2-3, 295-322, (2008)

The inner equation for generic analytic unfoldings of the Hopf-zero singularity

I. Baldomá, T.M. Seara, DCDS-B, 2-3, 323-347, (2008)

Structure and Gevrey asymptotic of solutions representing topological defects to some partial differential equations

M. Aguareles, I. Baldomá, Nonlinearity, 24, 2813-2848, (2011)

The inner equation for generalized standard maps

I. Baldomá, P. Martí, SIAM J. Applied Dynamical Systems, 11, 1062-1097, (2012)

Exponentially small splitting of separatrices beyond Melnikov analysis: Rigurous results

I. Baldomá, E. Fontich, M. Guardia, T.M. Seara, Journal of Differential Equations, 253, 3304-3439, (2012)

Exponentially small heteroclinic breakdown in the generic Hopf-zero singularity

I. Baldomá, O. Castejón, T.M. Seara, Journal of Dynamics and Differential Equations, 25 (2), 335-392, (2013)

On the asymptotic wavenumer of spiral waves in $\lambda-\omega$ systems,

M. Aguareles, I. Baldomá, T.M. Seara, Nonlinearity, 20 (1), 90-114, (2017)

Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points

I. Baldomá, E. Fontich, P. Martín, DCDS-A, (8), 4159-4190, (2017)

Breakdown of a 2D Heteroclinic Connection in the Hopf-Zero Singularity (I)

I. Baldomá, O. Castejón, T.M. Seara, Journal of Nonlinear Science, 28 (5), 1551-1627 (2018)

Breakdown of a 2D Heteroclinic Connection in the Hopf-Zero Singularity (II): The Generic Case

I. Baldomá, O. Castejón, T.M. Seara, Journal of Nonlinear Science, 28 (4), 1489-1549, (2018)

Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters

I. Baldomá, E. Fontich, P. Martín, Journal of Differential Equations, 268 (2020), no. 9, 5516–5573.

Invariant manifolds of parabolic fixed points (II). Approximations by sums of homogeneous functions

I. Baldomá, E. Fontich, P. Martín, Journal of Differential Equations, 268 (2020), no. 9, 5574–5627.

Hopf-zero singularities truly unfold chaos

I. Baldomá, S. Ibáñez, T.M. Seara, Commun. Nonlinear Sci. Numer. Simul. 84 (2020), 105162, 19 pàgines

Whiskered parabolic tori in the planar (n+1)-body problem

I. Baldomá, E. Fontich, P. Martín, Comm. Math. Phys. 374 (2020), no. 1, 63–110