Families of transitive maps on ℝ with horizontal asymptotes

Abstract:

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.

Año de publicación:

2018

Keywords:

• Horizontal asymptotes
• Increasing alternating systems
• Expansive alternating systems
• transitivity
• Periodic orbit of period 3

Fuente:

scopus