MODULUS OF ANALYTIC CLASSIFICATION FOR UNFOLDINGS OF GENERIC PARABOLIC DIFFEOMORPHISMS

In this paper we give a complete modulus of analytic classi- fication under weak equivalence for generic analytic 1-parameter unfold- ings of dieomorphisms with a generic parabolic point. The modulus is composed of a canonical parameter associated to the family, together with an unfolding of the Ecalle-Voronin modulus. We then study the fixed points bifurcating from a parabolic point with nontrivial Ecalle- Voronin modulus and show that some of the non-hyperbolic resonant ones are non integrable. In the Addendum it is shown that weak equivalence can be replaced by conjugacy.