Scaling law in Saddle-node bifurcations for one-dimensional maps: A complex variable approach

The study of transient dynamical phenomena near bifurcation thresholds has attracted the interest of many researchers due to the relevance of bifurcations in different physical or biological systems. In the context of saddle-node bifurcations, where two or more fixed points collide annihilating each other, it is known that the dynamics can suffer the so-called delayed transition. This phenomenon emerges when the system spends a lot of time before reaching the remaining stable equilibrium, found after the bifurcation, because of the presence of a saddle-remnant in phase space. Some works have analytically tackled this phenomenon, especially in time-continuous dynamical systems, showing that the time delay, tau, scales according to an inverse square-root power law, tau similar to (mu-mu (c) )(-1/2), as the bifurcation parameter mu, is driven further away from its critical value, mu (c) . In this work, we first characterize analytically this scaling law using complex variable techniques for a family of one-dimensional maps, called the normal form for the saddle-node bifurcation. We then apply our general analytic results to a single-species ecological model with harvesting given by a unimodal map, characterizing the delayed transition and the scaling law arising due to the constant of harvesting. For both analyzed systems, we show that the numerical results are in perfect agreement with the analytical solutions we are providing. The procedure presented in this work can be used to characterize the scaling laws of one-dimensional discrete dynamical systems with saddle-node bifurcations.

On differentiability and analyticity of positive definite functions

We derive a set of differential inequalities for positive definite functions based on previous results derived for positive definite kernels by purely algebraic methods. Our main results show that the global behavior of a smooth positive definite function is, to a large extent, determined solely by the sequence of even-order derivatives at the origin: if a single one of these vanishes then the function is constant; if they are all non-zero and satisfy a natural growth condition, the function is real-analytic and consequently extends holomorphically to a maximal horizontal strip of the complex plane.

Projecto Ano Zero : desenvolvimento de competências técnico-artísticas em jovens adultos através da Técnica de Dança Clássica, com vista ao ingresso no curso de Licenciatura da Escola Superior de Dança

Relatório Final de Projecto Pedagógico apresentado à Escola Superior de Dança com vista à obtenção do Grau de Mestre em Metodologias do Ensino da Dança.

Simulação numérica do comportamento dinâmico de uma laje

Nesta dissertação pretende-se simular o comportamento dinâmico de uma laje de betão armado aplicando o Método de Elementos Finitos através da sua implementação no programa FreeFEM++. Este programa permite-nos a análise do modelo matemático tridimensional da Teoria da Elasticidade Linear, englobando a Equação de Equilíbrio, Equação de Compatibilidade e Relações Constitutivas. Tratando-se de um problema dinâmico é necessário recorrer a métodos numéricos de Integração Directa de modo a obter a resposta em termos de deslocamento ao longo do tempo. Para este trabalho escolhemos o Método de Newmark e o Método de Euler para a discretização temporal, um pela sua popularidade e o outro pela sua simplicidade de implementação. Os resultados obtidos pelo FreeFEM++ são validados através da comparação com resultados adquiridos a partir do SAP2000 e de Soluções Teóricas, quando possível.

Influence of LPG composition on straw applied one componente PU winter foam

O principal objectivo desta tese é obter uma relação directa entre a composição dos gases liquefeitos de petróleo (GLP), propano, n-butano e isobutano, usados como aerossóis propulsores numa lata de poliuretano de um componente, com as propriedades das espumas produzidas por spray. As espumas obtidas, terão de ter como requisito principal, um bom desempenho a temperaturas baixas, -10ºC, sendo por isso designadas por espumas de Inverno. Uma espuma é considerada como tendo um bom desempenho se não apresentar a -10/-10ºC (temperatura lata/ spray) glass bubbles, base holes e cell collapse. As espumas deverão ainda ter densidades do spray no molde a +23/+23ºC abaixo dos 30 g/L, um rendimento superior a 30 L, boa estabilidade dimensional e um caudal de espuma a +5/+5ºC superior a 5 g/s. Os ensaios experimentais foram realizados a +23/+23ºC, +5/+5ºC e a -10/-10ºC. A cada temperatura, as espumas desenvolvidas, foram submetidas a testes que permitiram determinar a sua qualidade. Testes esses que incluem os designados por Quick Tests (QT): o spray no papel e no molde das espumas nas referidas temperaturas. As amostras do papel e no molde são especialmente analisadas, quanto, às glass bubbles, cell collapse, base holes, cell structur e, cutting shrinkage, para além de outras propriedades. Os QT também incluem a análise da densidade no molde (ODM) e o estudo do caudal de espumas. Além dos QT foram realizados os testes da estabilidade dimensional das espumas, testes físicos de compressão e adesão, testes de expansão das espumas após spray e do rendimento por lata de espuma. Em todos os ensaios foi utilizado um tubo adaptador colocado na válvula da lata como método de spray e ainda mantida constante a proporção das matérias-primas (excepto os gases, em estudo). As experiências iniciaram-se com o estudo de GLPs presentes no mercado de aerossóis. Estes resultaram que o GLP: propano/ n-butano/ isobutano: (30/ 0/ 70 w/w%), produz as melhores espumas de inverno a -10/-10ºC, reduzindo desta forma as glass bubbles, base holes e o cell collapse produzido pelos restantes GLP usados como aerossóis nas latas de poliuretano. Testes posteriores tiveram como objectivo estudar a influência directa de cada gás, propano, n-butano e isobutano nas espumas. Para tal, foram usadas duas referências do estudo com GLP comercializáveis, 7396 (30 /0 /70 w/w %) e 7442 (0/ 0/ 100 w/w %). Com estes resultados concluí-se que o n-butano produz más propriedades nas espumas a -10/- 10ºC, formando grandes quantidades de glass bubbles, base holes e cell collapse. Contudo, o uso de propano reduz essas glass bubbles, mas em contrapartida, forma cell collapse.Isobutano, porém diminui o cell collapse mas não as glass bubbles. Dos resultados experimentais podemos constatar que o caudal a +5/+5ºC e densidade das espumas a +23/+23ºC, são influenciados pela composição do GLP. O propano e n-butano aumentam o caudal de espuma das latas e a sua densidade, ao contrário com o que acontece com o isobutano. Todavia, pelos resultados obtidos, o isobutano proporciona os melhores rendimentos de espumas por lata. Podemos concluir que os GLPs que contivessem cerca de 30 w/w % de propano (bons caudais a +5/+5ºC e menos glass bubbles a -10/-10ºC), e cerca 70 w/w % de isobutano (bons rendimentos de espumas, bem como menos cell collapse a -10/-10ºC) produziam as melhores espumas. Também foram desenvolvidos testes sobre a influência da quantidade de gás GLP presente numa lata. A análise do volume de GLP usado, foi realizada com base na melhor espuma obtida nos estudos anteriores, 7396, com um GLP (30 / 0/ 70 w/w%), e foram feitas alterações ao seu volume gás GLP presente no pré-polímero. O estudo concluiu, que o aumento do volume pode diminuir a densidade das espumas, e o seu decréscimo, um aumento da densidade. Também indico u que um mau ajuste do volume poderá causar más propriedades nas espumas. A análise económica, concluiu que o custo das espumas com mais GLP nas suas formulações, reduz-se em cerca de 3%, a quando de um aumento do volume de GLP no pré-polímero de cerca de 8 %. Esta diminuição de custos deveu-se ao facto, de um aumento de volume de gás, implicar uma diminuição na quantidade das restantes matérias-primas, com custos superiores, já que o volume útil total da lata terá de ser sempre mantido nos 750 mL. Com o objectivo de melhorar a qualidade da espuma 7396 (30/0/70 w/w %) obtida nos ensaios anteriores adicionou-se à formulação 7396 o HFC-152a (1,1-di fluoroetano). Os resultados demonstram que se formam espumas com más propriedades, especialmente a -10/-10ºC, contudo proporcionou excelentes shaking rate da lata. Através de uma pequena análise de custos não é aconselhável o seu uso pelos resultados obtidos, não proporcionando um balanço custo/benefício favorável. As três melhores espumas obtidas de todos os estudos foram comparadas com uma espuma de inverno presente no mercado. 7396 e 7638 com um volume de 27 % no prépolímero e uma composição de GLP (30/ 0 / 70 w/w%) e (13,7/ 0/ 86,3 w/w%), respectivamente, e 7690, com 37 % de volume no pré-polímero e GLP (30/ 0 / 70 w/w%), apresentaram em geral melhores resultados, comparando com a espuma benchmark . Contudo, os seus shaking rate a -10/-10ºC, de cada espuma, apresentaram valores bastante inferiores à composição benchmarking.

The problem of estimating the volatility of zero coupon bond interest rate

Financial literature and financial industry use often zero coupon yield curves as input for testing hypotheses, pricing assets or managing risk. They assume this provided data as accurate. We analyse implications of the methodology and of the sample selection criteria used to estimate the zero coupon bond yield term structure on the resulting volatility of spot rates with different maturities. We obtain the volatility term structure using historical volatilities and Egarch volatilities. As input for these volatilities we consider our own spot rates estimation from GovPX bond data and three popular interest rates data sets: from the Federal Reserve Board, from the US Department of the Treasury (H15), and from Bloomberg. We find strong evidence that the resulting zero coupon bond yield volatility estimates as well as the correlation coefficients among spot and forward rates depend significantly on the data set. We observe relevant differences in economic terms when volatilities are used to price derivatives.

Positive Solutions of the Dirichlet Problem for the One-dimensional Minkowski-Curvature Equation

We discuss existence and multiplicity of positive solutions of the Dirichlet problem for the quasilinear ordinary differential equation-(u' / root 1 - u'(2))' = f(t, u). Depending on the behaviour of f = f(t, s) near s = 0, we prove the existence of either one, or two, or three, or infinitely many positive solutions. In general, the positivity of f is not required. All results are obtained by reduction to an equivalent non-singular problem to which variational or topological methods apply in a classical fashion.

Symbolic Knowledge Extraction from Trained Neural Networks Governed by Lukasiewicz Logics

This work describes a methodology to extract symbolic rules from trained neural networks. In our approach, patterns on the network are codified using formulas on a Lukasiewicz logic. For this we take advantage of the fact that every connective in this multi-valued logic can be evaluated by a neuron in an artificial network having, by activation function the identity truncated to zero and one. This fact simplifies symbolic rule extraction and allows the easy injection of formulas into a network architecture. We trained this type of neural network using a back-propagation algorithm based on Levenderg-Marquardt algorithm, where in each learning iteration, we restricted the knowledge dissemination in the network structure. This makes the descriptive power of produced neural networks similar to the descriptive power of Lukasiewicz logic language, minimizing the information loss on the translation between connectionist and symbolic structures. To avoid redundance on the generated network, the method simplifies them in a pruning phase, using the "Optimal Brain Surgeon" algorithm. We tested this method on the task of finding the formula used on the generation of a given truth table. For real data tests, we selected the Mushrooms data set, available on the UCI Machine Learning Repository.

Study of the one dimensional and transient bioheat transfer equation: Multi-layer solution development and applications

: In this work we derive an analytical solution given by Bessel series to the transient and one-dimensional (1D) bioheat transfer equation in a multi-layer region with spatially dependent heat sources. Each region represents an independent biological tissue characterized by temperature-invariant physiological parameters and a linearly temperature dependent metabolic heat generation. Moreover, 1D Cartesian, cylindrical or spherical coordinates are used to define the geometry and temperature boundary conditions of first, second and third kinds are assumed at the inner and outer surfaces. We present two examples of clinical applications for the developed solution. In the first one, we investigate two different heat source terms to simulate the heating in a tumor and its surrounding tissue, induced during a magnetic fluid hyperthermia technique used for cancer treatment. To obtain an accurate analytical solution, we determine the error associated with the truncated Bessel series that defines the transient solution. In the second application, we explore the potential of this model to study the effect of different environmental conditions in a multi-layered human head model (brain, bone and scalp). The convective heat transfer effect of a large blood vessel located inside the brain is also investigated. The results are further compared with a numerical solution obtained by the Finite Element Method and computed with COMSOL Multi-physics v4.1 (c). (c) 2013 Elsevier Ltd. All rights reserved.

Avaliação da dose efetiva recebida pelo técnico de radiologia no contexto ocupacional

Introdução – As funções a desempenhar pelos técnicos de radiologia (TR) envolvem exposição ocupacional às radiações ionizantes, podendo acarretar potenciais efeitos biológicos. Metodologia – De modo a avaliar a dose efetiva recebida pelo TR nos diferentes métodos de estudo radiológico em que este trabalha, procedeu-se à realização de um estudo exploratório-descritivo. Efetuaram-se medições com dosímetros termoluminescentes em cinco valências radiológicas e foram aplicados questionários aos TR para determinar o tempo total de trabalho, bem como as medidas gerais de proteção radiológica utilizadas durante o período de medições. Resultados – Verificou-se que as doses efetivas, calculadas por hora, foram mais elevadas na valência de radiologia de intervenção, com os dados obtidos sobre a proteção plumbínea, sendo que a valência com menor dose efetiva calculada por hora foi a de mamografia, que apresentou um valor de medição igual a zero. Conclusões – Com o presente estudo conclui-se que existem diferenças de dose efetiva recebida de acordo com a função desempenhada pelo TR. Pela extrapolação dos valores calculados para doses efetivas anuais, verificou-se que os valores correspondentes a cada valência se encontram muito abaixo do limite anual legal de 20mSv.

Water quality issues in rivers, lakes and reservoirs in Asian countries: an approach to the problems and the methodologies

Water covers over 70% of the Earth's surface, and is vital for all known forms of life. But only 3% of the Earth's water is fresh water, and less than 0.3% of all freshwater is in rivers, lakes, reservoirs and the atmosphere. However, rivers and lakes are an important part of fresh surface water, amounting to about 89%. In this Master Thesis dissertation, the focus is on three types of water bodies – rivers, lakes and reservoirs, and their water quality issues in Asian countries. The surface water quality in a region is largely determined both by the natural processes such as climate or geographic conditions, and the anthropogenic influences such as industrial and agricultural activities or land use conversion. The quality of the water can be affected by pollutants discharge from a specific point through a sewer pipe and also by extensive drainage from agriculture/urban areas and within basin. Hence, water pollutant sources can be divided into two categories: Point source pollution and Non-point source (NPS) pollution. Seasonal variations in precipitation and surface run-off have a strong effect on river discharge and the concentration of pollutants in water bodies. For example, in the rainy season, heavy and persistent rain wash off the ground, the runoff flow increases and may contain various kinds of pollutants and, eventually, enters the water bodies. In some cases, especially in confined water bodies, the quality may be positive related with rainfall in the wet season, because this confined type of fresh water systems allows high dilution of pollutants, decreasing their possible impacts. During the dry season, the quality of water is largely related to industrialization and urbanization pollution. The aim of this study is to identify the most common water quality problems in Asian countries and to enumerate and analyze the methodologies used for assessment of water quality conditions of both rivers and confined water bodies (lakes and reservoirs). Based on the evaluation of a sample of 57 papers, dated between 2000 and 2012, it was found that over the past decade, the water quality of rivers, lakes, and reservoirs in developing countries is being degraded. Water pollution and destruction of aquatic ecosystems have caused massive damage to the functions and integrity of water resources. The most widespread NPS in Asian countries and those which have the greatest spatial impacts are urban runoff and agriculture. Locally, mine waste runoff and rice paddy are serious NPS problems. The most relevant point pollution sources are the effluents from factories, sewage treatment plant, and public or household facilities. It was found that the most used methodology was unquestionably the monitoring activity, used in 49 of analyzed studies, accounting for 86%. Sometimes, data from historical databases were used as well. It can be seen that taking samples from the water body and then carry on laboratory work (chemical analyses) is important because it can give an understanding of the water quality. 6 papers (11%) used a method that combined monitoring data and modeling. 6 papers (11%) just applied a model to estimate the quality of water. Modeling is a useful resource when there is limited budget since some models are of free download and use. In particular, several of used models come from the U.S.A, but they have their own purposes and features, meaning that a careful application of the models to other countries and a critical discussion of the results are crucial. 5 papers (9%) focus on a method combining monitoring data and statistical analysis. When there is a huge data matrix, the researchers need an efficient way of interpretation of the information which is provided by statistics. 3 papers (5%) used a method combining monitoring data, statistical analysis and modeling. These different methods are all valuable to evaluate the water quality. It was also found that the evaluation of water quality was made as well by using other types of sampling different than water itself, and they also provide useful information to understand the condition of the water body. These additional monitoring activities are: Air sampling, sediment sampling, phytoplankton sampling and aquatic animal tissues sampling. Despite considerable progress in developing and applying control regulations to point and NPS pollution, the pollution status of rivers, lakes, and reservoirs in Asian countries is not improving. In fact, this reflects the slow pace of investment in new infrastructure for pollution control and growing population pressures. Water laws or regulations and public involvement in enforcement can play a constructive and indispensable role in environmental protection. In the near future, in order to protect water from further contamination, rapid action is highly needed to control the various kinds of effluents in one region. Environmental remediation and treatment of industrial effluent and municipal wastewaters is essential. It is also important to prevent the direct input of agricultural and mine site runoff. Finally, stricter environmental regulation for water quality is required to support protection and management strategies. It would have been possible to get further information based in the 57 sample of papers. For instance, it would have been interesting to compare the level of concentrations of some pollutants in the diferente Asian countries. However the limit of three months duration for this study prevented further work to take place. In spite of this, the study objectives were achieved: the work provided an overview of the most relevant water quality problems in rivers, lakes and reservoirs in Asian countries, and also listed and analyzed the most common methodologies.

Disruption and phenotypic analysis of six open reading frames from chromosome VII of Saccharomyces cerevisiae reveals one essential gene

Six open reading frames (ORFs) located on chromosome VII of Saccharomyces cerevisiae (YGR205w, YGR210c, YGR211w, YGR241c, YGR243w and YGR244c) were disrupted in two different genetic backgrounds using short-flanking homology (SFH) gene replacement. Sporulation and tetrad analysis showed that YGR211w, recently identified as the yeast ZPR1 gene, is an essential gene. The other five genes are non-essential, and no phenotypes could be associated to their inactivation. Two of these genes have recently been further characterized: YGR241c (YAP1802) encodes a yeast adaptor protein and YGR244c (LSC2) encodes the b-subunit of the succinyl-CoA ligase. For each ORF, a replacement cassette with long flanking regions homologous to the target locus was cloned in pUG7, and the cognate wild-type gene was cloned in pRS416.

Controlo directo de binário de uma máquina assíncrona trifásica

Dissertação para obtenção do grau de Mestre em Engenharia Electrotécnica Ramo de Automação e Electrónica Industrial

Complementarity of conventional and molecular methods in the assessment of fungal contamination caused by Aspergillus fumigatus complex in one Portuguese composting plant

The handling of waste and compost that occurs frequently in composting plants (compost turning, shredding, and screening) has been shown to be responsible for the release of dust and air borne microorganisms and their compounds in the air. Thermophilic fungi, such as A. fumigatus, have been reported and this kind of contamination in composting facilities has been associated with increased respiratory symptoms among compost workers. This study intended to characterize fungal contamination in a totally indoor composting plant located in Portugal. Besides conventional methods, molecular biology was also applied to overcome eventual limitations.

NZEB e os novos revestimentos

Dissertação de natureza científica para obtenção do grau de Mestre em Engenharia Civil na Área de Especialização de Edificações