Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/125804
Title: | Abundància de comportament aperiòdic en l'aplicació logística |
Author: | Garcı́a Fuentes, Juan |
Director/Tutor: | Tatjer i Montaña, Joan Carles |
Keywords: | Òrbites Treballs de fi de grau Sistemes dinàmics hiperbòlics Teoria ergòdica Caos (Teoria de sistemes) Orbits Bachelor's theses Hyperbolic dynamical systems Ergodic theory Chaotic behavior in systems |
Issue Date: | 27-Jun-2018 |
Abstract: | [en] Atractting periodic orbits are a very important tool in the study of the dynamic of one dimensional maps, as orbits in maps that have them are more predictable and maps without them can exhibit a chaotic behaviour. We will prove that exist a positive Lebesgue measure set of parameters such that the logistic fuction $\lim_{a} (x) = ax(1 - x)$ doesn’t have atracting periodic orbits using the results of Benedicks and Carleson. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Joan Carles Tatjer i Montaña |
URI: | http://hdl.handle.net/2445/125804 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
memoria.pdf | Memòria | 907.45 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License