Aproximació als conjunts de Julia i al conjunt de Mandelbrot
Aproximació als conjunts de Julia i al conjunt de Mandelbrot
[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.
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Martín Sombra
- University of Barcelona Spain
Funcions meromorfes, Funcions de variables complexes, Holomorphic functions, Bachelor's theses, Funcions holomòrfiques, Meromorphic functions, Differentiable dynamical systems, Treballs de fi de grau, Sistemes dinàmics diferenciables, Functions of complex variables
Funcions meromorfes, Funcions de variables complexes, Holomorphic functions, Bachelor's theses, Funcions holomòrfiques, Meromorphic functions, Differentiable dynamical systems, Treballs de fi de grau, Sistemes dinàmics diferenciables, Functions of complex variables
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