2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73244Let F be an automorphism of C^k which has a fixed point. It is well known that the basin of attraction is biholomorphically equivalent to C^k. We will show that the basin of attraction of a sequence of automorphisms is also biholomorphic to C^k if all the automorphisms are small perturbations of the original map F.11 pagesComplex VariablesDynamical Systems32H50, 32H02Perturbed Basins of Attractiontext