2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158647We prove that for a generic $C^1$-diffeomorphism existence of a homoclinic class with periodic saddles of different indices (dimension of the unstable bundle) implies existence an invariant ergodic non-hyperbolic (one of the Lyapunov exponents is equal to zero) measure of $f$.50 pagesDynamical Systems37C05, 37C20, 37C29, 37D25, 37D30text