Aproximació als conjunts de Julia i al conjunt de Mandelbrot

Abstract

[en] The aim of this project is the study of the density of repelling periodic points in the Julia set, and the theorem stating that, the closure of the c’s of the Mandelbrot set such that the function $z \sup{2} + c$, has a super attracting cycle, is the entire boundary of the Mandelbrot set. In order to achieve so, we focus on the periodic points, critical points and characteristics of the Julia set, starting with the fundamental concepts involved in the comprehension of this results.