23 citations · 28 across the 4 of their papers we have counts for
4 papers · 1 filter
On a countable sequence of homoclinic orbits arising near a saddle-center point
Inmaculada Baldomá, Marcel Guardia, Dmitry E. Pelinovsky
Exponential small splitting of separatrices in the singular perturbation theory leads generally to nonvanishing oscillations near a saddle--center point and to nonexistence of a tr…
Splitting of separatrices for rapid degenerate perturbations of the classical pendulum
Inmaculada Baldomá, Teresa M. -Seara, Román Moreno
In this work we study the splitting distance of a rapidly perturbed pendulum with $g(τ)=\sum_{…
Breakdown of heteroclinic connections in the analytic Hopf-Zero singularity: Rigorous computation of the Stokes constant
Inmaculada Baldomá, Maciej J. Capiński, Marcel Guardia +1
Consider analytic generic unfoldings of the three dimensional conservative Hopf-Zero singularity. Under open conditions on the parameters determining the singularity, the unfolding…
Exponentially small heteroclinic breakdown in the generic Hopf-zero singularity
I. Baldomá, O. Castejón, T. M. Seara
In this paper we prove the breakdown of an heteroclinic connection in the analytic versal unfoldings of the generic Hopf-Zero singularity in an open set of the parameter space. Thi…