Exploring parameter spaces in complex dynamics

Autor: Pedro Iván Suárez Navarro
Jazyk: Spanish; Castilian
Rok vydání: 2023
Předmět:
Zdroj: Selecciones Matemáticas, Vol 10, Iss 01, Pp 60-68 (2023)
Druh dokumentu: article
ISSN: 2411-1783
DOI: 10.17268/sel.mat.2023.01.06
Popis: We show the structure of the parameter space for a family of rational maps containing Blaschke products. Through numerical simulations using the orbit of a single critical point, we reveal the existence of infinitely many Mandelbrot-like sets along the unit circle, as well as eight-like structures in other regions of parameter space. We pose some open questions related to the parameter space of these functions.
Databáze: Directory of Open Access Journals