2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62121We prove that homoclinic classes for a residual set of C^1 vector fields X on closed n-manifolds are maximal transitive and depend continuously on periodic orbit data. In addition, X does not exhibit cycles formed by homoclinic classes. We also prove that a homoclinic class of X is isolated if and only if it is Omega-isolated, and that it is the intersection of its stable set and its unstable set. All these properties are well known for structurally stable Axiom A vector fields.17 pagesDynamical Systems37C (primary); 37C20, 37C29 (secondary)text