Resumen de Families of transitive maps on R with horizontal asymptotes

Bladismir Leal, Guelvis Mata, Sergio Muñoz

• We will prove the existence of a class of transitive maps on the real line R, with a discontinuity and horizontal asymptotes, whose set of periodic orbits is dense in R; that is, a class of chaotic families. In addition, we will show a rare phenomenon: the existence of periodic orbits of period three prevents the existence of transitivity.