2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143521We show that for a $C^1$ residual subset of diffeomorphisms far away from tangency, every non-trivial chain recurrent class that is accumulated by sources ia a homoclinic class contains periodic points with index 1 and it's the Hausdorff limit of a family of sources.Dynamical SystemsGeometric Topology37D30;37D10; 37C25text