2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64522We investigate the break up of the last invariant curve for families of standard maps. Our main result is another evidence of how hard this problem is. We give an example of an analytic mapping with a "pathological" behavior, related to the break up of the last rotational invariant curve.8 pagesDynamical Systems37E40, 37E45text