Exploració per tema "Hopf-zero bifurcation"
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Breakdown of a 2D heteroclinic connection in the hopf-zero singularity (I)
(2018-10-01)
Article
Accés obertIn this paper we study a beyond all orders phenomenon which appears in the analytic unfoldings of the Hopf-zero singularity. It consists in the breakdown of a two-dimensional heteroclinic surface which exists in the truncated ... -
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (II): The generic case
(2018-04-17)
Article
Accés obertIn 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 singularity. The method consists in obtaining ... -
Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopf-zero singularity
(2004)
Article
Accés obertIn this paper we study the exponentially small splitting of a heteroclinic orbit in some unfoldings of the central singularity also called Hopf-zero singularity. The fields under consideration are of the form: dx dτ = ...