4 citations · 7 across the 3 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2023
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_{…
math.DS2016★ 3 cited
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (II). The generic case
I. Baldomá, O. Castejón, T. M. Seara
In this paper we prove the breakdown of the two-dimensional stable and unstable manifolds associated to two saddle-focus points which appear in the unfoldings of the Hopf-zero sing…
math.DS2016★ 4 cited
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (I)
I. Baldomá, O. Castejón, T. M. Seara
In this paper we study a beyond all order phenomenon which appears in the analytic unfoldings of the Hopf-zero singularity. It consists in the breakdown of a two-dimensional hetero…