2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164718In the study of one dimensional dynamical systems one often assumes that the functions involved have a negative Schwarzian derivative. In this paper we consider a generalization of this condition. Specifically, we consider the interval functions of a real variable having some iterate with a negative Schwarzian derivative and show that many known results generalize to this larger class of functions. The introduction of this class was motivated by some maps arising in neuroscience.18 pages, 2 figues, contents have been modified from previous versionDynamical Systems37E05; 37N25text