Zoology in the Hénon family: twin babies and Milnor's swallows

Pierre Berger

We study $C^{d,r}$-Hénon-like families $(f_{ab}{)}_{ab}$ with two parameters $(a,b)\in {\mathbb{R}}^2$. We show the existence of an open set of parameters $(a,b)\in \mathcal{D}$, s…