Titol: The inner equation for generic analytic unfoldings of the
Hofp-zero singularity

Autors: I, Baldom…, T. M. Seara

Abstract:
A classical problem in the study of the (conservative) unfoldings of
the so called hopf-zero bifurcation, is the computation of the
splitting  of a heteroclinic connection which exists in the symetric
normal form along the $z$-axis. In this paper we derive the inner
system associated to this singular problem, which is independent on
the unfolding parameter. We prove the existence of two  solutions of
this system related with the stable and unstable manifolds of the
unfolding, and we give an asymptotic formula for their difference.
We check that the results in this work agree with the ones obtained
in the regular case by the authors.