Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Joan Carles Tatjer i Montaña[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.