Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/166398
Title: | Dinàmica simbòlica i aplicacions als sistemes dinàmics |
Author: | Sallent Martínez, Cristina |
Director/Tutor: | Fagella Rabionet, Núria |
Keywords: | Caos (Teoria de sistemes) Treballs de fi de grau Funcions de diverses variables complexes Equacions diferencials ordinàries Dinàmica topològica Models matemàtics Chaotic behavior in systems Bachelor's theses Functions of several complex variables Ordinary differential equations Topological dynamics Mathematical models |
Issue Date: | 19-Jan-2020 |
Abstract: | [en] Chaos theory is a branch of mathematics focusing on dynamic systems with irregular behavior. Despite being deterministic dynamical systems, their behavior cannot be predicted since small differences in initial conditions can cause the system to evolve very differently. In this paper we will see some examples of very simple dynamical systems but with chaotic dynamics. We will focus mainly on the study of the family $Q_{c}(x)=x^{2}+c$ on the real and complex case. We will talk about symbolic dynamics and topological conjugacy as a useful tool to compare dynamical systems and transfer information from one to another. These two concepts will be used to prove that a dynamical system is chaotic. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Núria Fagella Rabionet |
URI: | http://hdl.handle.net/2445/166398 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
166398.pdf | Memòria | 2.91 MB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License