23 citations · 30 across the 3 of their papers we have counts for
3 papers
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…
math.DS2012★ 23 cited
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…