Self Similarity of Sousa Ramos’s Trees and Mira’s Boxes Within the Boxes

Abstract

Abstract This work consists on the theory of embedded boxes structure [7], from the point of view of the theory of symbolic dynamics [6], tree structure Ramos [8], [9], [10] and star product [1] . This merger allowed the outcome-applications defined on the real line and a better understanding of the structure of the bifurcation, which allows us to characterize and understand the dynamics behind an application within the chaotic dynamical systems.