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Title: What is an attractor?
Author: Fauro Oliete, Jessica Beatriz
Director: Panadero Martínez, Javier  
Tutor: Garijo Real, Antonio
Keywords: dynamical systems
Issue Date: 18-Jun-2021
Publisher: Universitat Oberta de Catalunya (UOC)
Abstract: In this paper we will mainly discuss about dynamical systems and the notion of attractor, an important concept which allow us to obtain a lot of information about the behaviour of dynamical systems. The first chapters are mainly dedicated to give the definition of both concepts, as well as some of their most important properties. We will see there are two types of dynamical systems depending on the time set we consider. Afterwards, we will show some examples of attractors focusing on fixed points and two important examples of attractor in the literature: the Feigenabum attractor, which appears on the study of the quadratic family, in both real and complex spaces, and the Lorenz attractor, which appears on the study of a three-dimensional linear system. In both cases, we will do a MATLAB simulation of the attractors in order to visually see how they behave and the various shapes they are able to adopt.
Language: English
Appears in Collections:Bachelor thesis, research projects, etc.

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