2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68250We describe dynamical properties of a map $\mathfrak{F}$ defined on the space of rational functions. The fixed points of $\mathfrak{F}$ are classified and the long time behavior of a subclass is described in terms of Eulerian polynomials.Classical Analysis and ODEsAlgebraic GeometryDynamical Systems26C15text