Sombra, MartínFernàndez Porta, Marta2022-04-212022-04-212021-06-20https://hdl.handle.net/2445/185042Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Martín Sombra[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.46 p.application/pdfcatcc-by-nc-nd (c) Marta Fernàndez Porta, 2021http://creativecommons.org/licenses/by-nc-nd/3.0/es/Funcions de variables complexesTreballs de fi de grauFuncions holomòrfiquesFuncions meromorfesSistemes dinàmics diferenciablesFunctions of complex variablesBachelor's thesesHolomorphic functionsMeromorphic functionsDifferentiable dynamical systemsinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess