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Title: | Aproximació als conjunts de Julia i al conjunt de Mandelbrot |
Author: | Fernàndez Porta, Marta |
Director/Tutor: | Sombra, Martín |
Keywords: | Funcions de variables complexes Treballs de fi de grau Funcions holomòrfiques Funcions meromorfes Sistemes dinàmics diferenciables Functions of complex variables Bachelor's theses Holomorphic functions Meromorphic functions Differentiable dynamical systems |
Issue Date: | 20-Jun-2021 |
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. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Martín Sombra |
URI: | http://hdl.handle.net/2445/185042 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_marta_fernandez_porta.pdf | Memòria | 999.64 kB | Adobe PDF | View/Open |
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