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http://hdl.handle.net/2445/186227
Title: | La dinàmica dels polinomis complexos: The escaping set |
Author: | Blanco Borrás, Rubén |
Director/Tutor: | Fagella Rabionet, Núria |
Keywords: | Funcions de variables complexes Superfícies de Riemann Programari Treballs de fi de grau Polinomis Fractals Functions of complex variables Riemann surfaces Computer software Polynomials Fractals Bachelor's theses |
Issue Date: | 24-Jan-2022 |
Abstract: | [en] In this project we study the dynamics of complex polynomials, leading towards an efficient algorithm to draw the relevant fractal objects that appear. First, we begin with a series of preliminary concepts necessary to be able to understand the properties of local and global theory, and then analyze the particular properties of polynomials. From here, we will delve into the quadratic family, specifically the Mandelbrot set. We develop Python code to visualize different sets of complex dynamics and see how the escaping and density algorithms work. |
Note: | Treballs Finals de Grau d'Enginyeria Informàtica, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Núria Fagella Rabionet |
URI: | http://hdl.handle.net/2445/186227 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques Programari - Treballs de l'alumnat Treballs Finals de Grau (TFG) - Enginyeria Informàtica |
Files in This Item:
File | Description | Size | Format | |
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codi.zip | Codi font | 17.73 kB | zip | View/Open |
tfg_blanco_borras_ruben.pdf | Memòria | 2.39 MB | Adobe PDF | View/Open |
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