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

Authors

Diogo Baptista, Mathematics Department, School of Technology and Management, Polytechnic Institute of Leiria Campus 2, Morro do Lena - Alto do Vieiro 2411-901 Leiria, Portugal\\ CIMA-UE, Rua Rom?ao Ramalho, 59, 7000-671 ´Evora, PortugalFollow
Daniele Fournier-Prunaret, LAAS-CNRS, INSA, Universit´e de Toulouse, FranceFollow
Clara Gr?cio, Mathematics Department, Universidade de ´Evora and CIMA-UE, Rua Rom?ao Ramalho, 59, 7000-671 ´Evora, PortugalFollow
Sara Fernandes, Mathematics Department, Universidade de ´Evora and CIMA-UE, Rua Rom?ao Ramalho, 59, 7000-671 ´Evora, PortugalFollow

Author Country (or Countries)

Portugal

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.

Recommended Citation

Baptista, Diogo; Fournier-Prunaret, Daniele; Gr?cio, Clara; and Fernandes, Sara (2023) "Self Similarity of Sousa Ramos’s Trees and Mira’s Boxes Within the Boxes," Applied Mathematics & Information Sciences: Vol. 09: Iss. 5, Article 25.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss5/25