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math.DS2019
Stable intersections of Cantor sets and positive density of persistent tangencies for homoclinic bifurcations of automorphisms of
Hugo Araújo, Carlos Gustavo Moreira
Let be a family of automorphisms of unfolding a generic homoclinic tangency associated to a fixed point belonging to a horseshoe. We…
math.DS2019
Stable Intersections of Conformal Cantor Sets
Hugo Araújo, Carlos Gustavo Moreira
We investigate stable intersections of conformal Cantor sets and their consequences to dynamical systems. First we define this type of Cantor set and relate it to horseshoes appear…