About the Stabilization of a Nonlinear Perturbed Difference Equation

This paper investigates the local asymptotic stabilization of a very general class of instable autonomous nonlinear difference equations which are subject to perturbed dynamics which can have a different order than that of the nominal difference equation. In the general case, the controller consists of two combined parts, namely, the feedback nominal controller which stabilizes the nominal (i.e., perturbation-free) difference equation plus an incremental controller which completes the stabilization in the presence of perturbed or unmodeled dynamics in the uncontrolled difference equation. A stabilization variant consists of using a single controller to stabilize both the nominal difference equation and also the perturbed one under a small-type characterization of the perturbed dynamics. The study is based on Banach fixed point principle, and it is also valid with slight modification for the stabilization of unstable oscillatory solutions.

Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings: Applications to Impulsive Differential and Difference Equations

This paper is devoted to the study of convergence properties of distances between points and the existence and uniqueness of best proximity and fixed points of the so-called semicyclic impulsive self-mappings on the union of a number of nonempty subsets in metric spaces. The convergences of distances between consecutive iterated points are studied in metric spaces, while those associated with convergence to best proximity points are set in uniformly convex Banach spaces which are simultaneously complete metric spaces. The concept of semicyclic self-mappings generalizes the well-known one of cyclic ones in the sense that the iterated sequences built through such mappings are allowed to have images located in the same subset as their pre-image. The self-mappings under study might be in the most general case impulsive in the sense that they are composite mappings consisting of two self-mappings, and one of them is eventually discontinuous. Thus, the developed formalism can be applied to the study of stability of a class of impulsive differential equations and that of their discrete counterparts. Some application examples to impulsive differential equations are also given.

How central are clients in sexual networks created by commercial sex?

Sex workers are traditionally considered important vectors of transmission of sexually transmitted infections (STI). The role of clients is commonly overlooked, partially due to the lack of evidence on clients' position in the sexual network created by commercial sex. Contrasting the diffusion importance of sex workers and their clients in the map of their sexual encounters in two Web-mediated communities, we find that from diffusion perspective, clients are as important as sex workers. Their diffusion importance is closely linked to the geography of the sexual encounters: as a result of different movement patterns, travelling clients shorten network distances between distant network neighborhoods and thus facilitate contagion among them more than sex workers, and find themselves more often in the core of the network by which they could contribute to the persistence of STIs in the community. These findings position clients into the set of the key actors and highlight the role of human mobility in the transmission of STIs in commercial sexual networks.

El tratamiento por parte de Naciones Unidas de la violación sexual a mujeres en los conflictos armados: las guerras en los Balcanes

32 p.

El “círculo victimal” en la victimización sexual infantil

Mediante este estudio nos hemos acercado a la victimización sexual infantil desde el concepto de “círculo víctimal”. Tras una contextualización en la que realizamos una revisión de la bibliografía más relevante desde la óptica adoptada, presentamos nuestro propio trabajo de campo con datos de Gipuzkoa. Se han analizado un total de 51 sentencias, principalmente condenatorias, emitidas tanto por la Audiencia Provincial de Gipuzkoa como por el Juzgado de Menores de San Sebastián –incluyendo en este caso no sólo sentencias sino también expedientes-. El periodo abarcado han sido los años 2004-2014. Dicho análisis nos ha permitido considerar las características del abuso, de la víctima y del agresor, el posible impacto victimal, así como la existencia o no de antecedentes de abusos en la infancia en la vida de los agresores. Los resultados se han contrastado con los estudios teóricos y empíricos de ámbito internacional referentes al “círculo victimal” en el ámbito de los abusos sexuales infantiles, deteniéndonos especialmente en si la víctima fue abusada en la familia o fuera de ella y si se convierte en abusador de su propia familia o de alguien fuera de ella. Adicionalmente, con el objeto de introducir la voz de los propios protagonistas, a través de fuentes secundarias, se han rescatado historiales de agresores de menores con antecedentes de abusos. Asimismo se ha completado el trabajo de campo con entrevistas a expertos.