2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116625We give a surface for which the Ricci Flow applied to the metric will increase the topological entropy of the geodesic flow. Specifically, we first adapt the Melnikov method to apply to a Ricci Flow perturbation and then we construct a surface which is closely related to a surface of revolution, but does not quite have rotational symmetry. This is done by adapting the Liouville metric representation of a surface of revolution. The final steps of the Melnikov method require numerical integration.15 pages, 4 figuresDynamical SystemsDifferential Geometry34C35; 53C44text