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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)
Bachelor's thesis
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
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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