Topological entropy of catalytic sets: Hypercycles revisited

The dynamics of catalytic networks have been widely studied over the last decades because of their implications in several fields like prebiotic evolution, virology, neural networks, immunology or ecology. One of the most studied mathematical bodies for catalytic networks was initially formulated in the context of prebiotic evolution, by means of the hypercycle theory. The hypercycle is a set of self-replicating species able to catalyze other replicator species within a cyclic architecture. Hypercyclic organization might arise from a quasispecies as a way to increase the informational containt surpassing the so-called error threshold. The catalytic coupling between replicators makes all the species to behave like a single and coherent evolutionary multimolecular unit. The inherent nonlinearities of catalytic interactions are responsible for the emergence of several types of dynamics, among them, chaos. In this article we begin with a brief review of the hypercycle theory focusing on its evolutionary implications as well as on different dynamics associated to different types of small catalytic networks. Then we study the properties of chaotic hypercycles with error-prone replication with symbolic dynamics theory, characterizing, by means of the theory of topological Markov chains, the topological entropy and the periods of the orbits of unimodal-like iterated maps obtained from the strange attractor. We will focus our study on some key parameters responsible for the structure of the catalytic network: mutation rates, autocatalytic and cross-catalytic interactions.

Nonautonomous Graphs and Topological Entropy of Nonautonomous Lorenz Systems

In this work, we associate a p-periodic nonautonomous graph to each p-periodic nonautonomous Lorenz system with finite critical orbits. We develop Perron-Frobenius theory for nonautonomous graphs and use it to calculate their entropy. Finally, we prove that the topological entropy of a p-periodic nonautonomous Lorenz system is equal to the entropy of its associated nonautonomous graph.

Algorithm-oriented design of efficient many-core architectures applied to dense matrix multiplication

Recent integrated circuit technologies have opened the possibility to design parallel architectures with hundreds of cores on a single chip. The design space of these parallel architectures is huge with many architectural options. Exploring the design space gets even more difficult if, beyond performance and area, we also consider extra metrics like performance and area efficiency, where the designer tries to design the architecture with the best performance per chip area and the best sustainable performance. In this paper we present an algorithm-oriented approach to design a many-core architecture. Instead of doing the design space exploration of the many core architecture based on the experimental execution results of a particular benchmark of algorithms, our approach is to make a formal analysis of the algorithms considering the main architectural aspects and to determine how each particular architectural aspect is related to the performance of the architecture when running an algorithm or set of algorithms. The architectural aspects considered include the number of cores, the local memory available in each core, the communication bandwidth between the many-core architecture and the external memory and the memory hierarchy. To exemplify the approach we did a theoretical analysis of a dense matrix multiplication algorithm and determined an equation that relates the number of execution cycles with the architectural parameters. Based on this equation a many-core architecture has been designed. The results obtained indicate that a 100 mm(2) integrated circuit design of the proposed architecture, using a 65 nm technology, is able to achieve 464 GFLOPs (double precision floating-point) for a memory bandwidth of 16 GB/s. This corresponds to a performance efficiency of 71 %. Considering a 45 nm technology, a 100 mm(2) chip attains 833 GFLOPs which corresponds to 84 % of peak performance These figures are better than those obtained by previous many-core architectures, except for the area efficiency which is limited by the lower memory bandwidth considered. The results achieved are also better than those of previous state-of-the-art many-cores architectures designed specifically to achieve high performance for matrix multiplication.

The importance of quality of life in patients with multiple sclerosis: do they need auxiliary walking devices?

Objective: To describe the importance of training multiple sclerosis (MS) patients with auxiliary walking devices (walking stick, crutch, or wheelchair) in a way that achieves a better quality of life (QOL). Design: Exploratory and descriptive. Setting: General hospital in Portugal.

Teatro e igualdade de género : uma intervenção social e artística : relatório de estágio

O presente Relatório de Estágio tem como objecto de pesquisa a concepção e monitorização de duas Oficinas de Teatro dirigidas a dois grupos de mulheres constituídos, respectivamente, por estudantes universitárias e desempregadas. O estágio realizou-se entre Novembro/2013 e Junho/2014 na Quarta Parede - Associação de Artes Performativas da Covilhã e inseriu-se nos Empowerment Labs, laboratórios formativos que cruzam artes performativas e ciências sociais na reflexão e intervenção sobre a igualdade de género com foco no desemprego feminino. Este relatório expõe os três momentos do processo do estágio: pesquisa de referenciais teórico-práticos, concepção e monitorização das Oficinas de Teatro e reflexão a partir da prática laboratorial. Na pesquisa de referenciais, essencial para delinear a metodologia operacional e o programa de conteúdos, explorei dimensões como o feminismo e a igualdade de género, e procurei compreender de que forma o empowerment, a pedagogia de Paulo Freire e as metodologias do teatro aplicado serviam os objectivos do meu trabalho. A realização das oficinas foi o momento de experimentar as metodologias e o programa delineado. Tendo a igualdade de género como temática unificadora, o empowerment através da arte como objectivo maior e o teatro aplicado como base metodológica, as oficinas inserem-se nos processos de educação não-formal aplicados ao incremento de recursos intelectuais, emocionais, sociais, expressivos e criativos e, neste caso específico, à ampliação da consciência de género. Neste sentido, as oficinas desenvolveram uma abordagem metodológica processual, participativa e multidisciplinar, orientada para a pesquisa performativa, primeiro de uma dramaturgia individual, depois de uma dramaturgia do colectivo e, por fim, de uma dramaturgia orientada para a igualdade de género. O conceito de “dramaturgia” surge aqui no sentido metodológico do pachwork (trabalho com retalhos) e do sampling (recolha e transformação de materiais), relevante sobretudo na última fase, dedicada à construção colectiva de um exercício performativo apresentado publicamente.

Evaluation of the influence of testing parameters on the melt flow index of thermoplastics

The main goals of the present work are the evaluation of the influence of several variables and test parameters on the melt flow index (MFI) of thermoplastics, and the determination of the uncertainty associated with the measurements. To evaluate the influence of test parameters on the measurement of MFI the design of experiments (DOE) approach has been used. The uncertainty has been calculated using a "bottom-up" approach given in the "Guide to the Expression of the Uncertainty of Measurement" (GUM). Since an analytical expression relating the output response (MFI) with input parameters does not exist, it has been necessary to build mathematical models by adjusting the experimental observations of the response variable in accordance with each input parameter. Subsequently, the determination of the uncertainty associated with the measurement of MFI has been performed by applying the law of propagation of uncertainty to the values of uncertainty of the input parameters. Finally, the activation energy (Ea) of the melt flow at around 200 degrees C and the respective uncertainty have also been determined.