Publications

Exponentially Small Splitting of Invariant Manifolds of Parabolic Points

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

Exponentially small splitting of separatrices in a weakly hyperbolic case

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

Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopfzero singularity

The parameterization method for one dimensional invariant manifolds of higher dimensional parabolic fixed points

One dimensional invariant manifolds of Gevrey type in realanalytic maps

The inner equation for generic analytic unfoldings of the Hopfzero singularity

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

The inner equation for generalized standard maps

Exponentially small splitting of separatrices beyond Melnikov analysis: Rigurous results

Exponentially small heteroclinic breakdown in the generic Hopfzero singularity

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

Gevrey estimates for one dimensional parabolic invariant manifolds of nonhyperbolic fixed points

Breakdown of a 2D Heteroclinic Connection in the HopfZero Singularity (I)

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