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.

Complex Dynamics of defective interfering baculoviruses during serial passage in insect cells

Defective interfering (DI) viruses are thought to cause oscillations in virus levels, known as the ‘Von Magnus effect’. Interference by DI viruses has been proposed to underlie these dynamics, although experimental tests of this idea have not been forthcoming. For the baculoviruses, insect viruses commonly used for the expression of heterologous proteins in insect cells, the molecular mechanisms underlying DI generation have been investigated. However, the dynamics of baculovirus populations harboring DIs have not been studied in detail. In order to address this issue, we used quantitative real-time PCR to determine the levels of helper and DI viruses during 50 serial passages of Autographa californica multiple nucleopolyhedrovirus (AcMNPV) in Sf21 cells. Unexpectedly, the helper and DI viruses changed levels largely in phase, and oscillations were highly irregular, suggesting the presence of chaos. We therefore developed a simple mathematical model of baculovirus-DI dynamics. This theoretical model reproduced patterns qualitatively similar to the experimental data. Although we cannot exclude that experimental variation (noise) plays an important role in generating the observed patterns, the presence of chaos in the model dynamics was confirmed with the computation of the maximal Lyapunov exponent, and a Ruelle-Takens-Newhouse route to chaos was identified at decreasing production of DI viruses, using mutation as a control parameter. Our results contribute to a better understanding of the dynamics of DI baculoviruses, and suggest that changes in virus levels over passages may exhibit chaos.

Complex dynamics in the trajectory control of redundant manipulators

Redundant manipulators allow the trajectory optimization, the obstacle avoidance, and the resolution of singularities. For this type of manipulators, the kinematic control algorithms adopt generalized inverse matrices that may lead to unpredictable responses. Motivated by these problems this paper studies the complexity revealed by the trajectory planning scheme when controlling redundant manipulators. The results reveal fundamental properties of the chaotic phenomena and give a deeper insight towards the development of superior trajectory control algorithms.

Discretization of complex-order algorithms for control applications

In this article we describe several methods for the discretization of the differintegral operator sa, where α = u + jv is a complex value. The concept of the conjugated-order differintegral is also introduced, which enables the use of complex-order differintegrals while still producing real-valued time responses and transfer functions. The performance of the resulting approximations is analysed in both the time and frequency domains. Several results are presented that demonstrate its utility in control system design.

Complex-order dynamics in hexapod locomotion

This paper studies the dynamics of foot–ground interaction in hexapod locomotion systems. For that objective the robot motion is characterized in terms of several locomotion variables and the ground is modelled through a non-linear spring-dashpot system, with parameters based on the studies of soil mechanics. Moreover, it is adopted an algorithm with foot-force feedback to control the robot locomotion. A set of model-based experiments reveals the influence of the locomotion velocity on the foot–ground transfer function, which presents complex-order dynamics.

IVA : o regime de contabilidade de caixa e o ciclo de caixa das empresas

Mestrado em Fiscalidade

Contributo das tecnologias de informação na gestão do regime terapêutico no diabético

A diabetes é a doença do seculo XXI, atinge mais de um milhão de portugueses cada vez mais jovens em idades trabalhadoras, e já custa mais de 1% do PIB, além dos enormes danos que pode causar às pessoas e à sociedade. Segundo o Relatório Anual do Observatório Nacional da Diabetes, em 2011, cerca de um quarto da população portuguesa integrada no escalão etário dos 60 aos 79 tem Diabetes. Um estudo realizado pelo Lisbon Internet and Networks Institute (LINI), em 2010, diz-nos que “a internet é um recurso para a informação e educação para a saúde”. Em 2010 49% dos lares portugueses possuem acesso à internet e 44% da população é utilizadora (acréscimo significativo relativamente aos 29% em 2003). Destes, dois terços têm entre os 15 e os 24 anos. Os idosos representam 1,6%, dos quais os reformados e pensionistas representam 5%, as domésticas representam 11% e os trabalhadores manuais 22%, sendo estes os menos utilizadores. Um terço da restante população procura informação sobre saúde semanalmente, cerca de 16%. Face à atual conjuntura económica, com restrições orçamentais, nomeadamente na área da saúde, devem-se encontrar meios para prevenir e lidar com a Diabetes numa perspetiva de custo-benefício, isto porque a Diabetes pode reduzir as oportunidades de emprego e de aprendizagem. O atual diretor da Organização para a Cooperação e Desenvolvimento Económico (OCDE) Yyes Leterme diz que “Prevenir e tratar a Diabetes e as suas complicações custa cerca de 90 mil milhões de euros anualmente na Europa”. Atualmente, não é muito utilizado nem explorado o potencial das tecnologias de informação e as ferramentas web ao serviço da saúde, quer por profissionais de saúde, quer por utentes na gestão ao regime terapêutico na doença crónica, mais precisamente na gestão adequada da Diabetes. Potenciar uma visão integrada dos diferentes recursos de comunicação e a sua utilização conjugada com a promoção da saúde e prevenção da doença poderá enfatizar em termos de eficácia e eficiência a minimização de recursos das organizações de saúde e promover a gestão adequada da Diabetes. Tendo por base esta problemática, este estudo pretende abordar e refletir o possível contributo das tecnologias de informação e das ferramentas web na gestão adequada ao regime terapêutico da Diabetes.

Simulação laboratorial e numérica da remoção, em regime transiente, de tolueno da água através de arrastamento por ar

O tolueno tem uma vasta aplicação industrial e apresenta alguns riscos para a saúde humana. A existência de deficientes redes de infra-estruturas de saneamento básico e de protecções ambientais adequadas promovem, com relativa facilidade, a poluição de recursos hídricos subterrâneos com este tipo de composto orgânico volátil (COV). Legislação comunitária, recentemente publicada, exige que se cumpra a médio prazo padrões mínimos de qualidade apontando como limite máximo de concentração de tolueno na água destinada a consumo humano o valor de 1 miligrama por litro. O processo de arrastamento por ar em colunas com enchimento desordenado é uma das técnicas de remoção disponíveis, embora ainda pouco implementada no nosso país. Neste trabalho simulouse, laboratorial e numericamente, a remoção do tolueno da água, em regime transiente, através desta tecnologia sob condições operatórias pré-estabelecidas.

Functional domains of Bacillus subtilis transcription factor AraR and identification of aminoacids important for nucleoprotein complex assembly and effector-binding.

Journal of Bacteriology (Apr 2006) 3024-3036

Impact of the Meteorology Conditions on the Particulate Matter Dispersion from an Industrial Complex into Urban and Suburban Areas

The aim of this work was to assess the influence of meteorological conditions on the dispersion of particulate matter from an industrial zone into urban and suburban areas. The particulate matter concentration was related to the most important meteorological variables such as wind direction, velocity and frequency. A coal-fired power plant was considered to be the main emission source with two stacks of 225 m height. A middle point between the two stacks was taken as the centre of two concentric circles with 6 and 20 km radius delimiting the sampling area. About 40 sampling collectors were placed within this area. Meteorological data was obtained from a portable meteorological station placed at approximately 1.7 km to SE from the stacks. Additional data was obtained from the electrical company that runs the coal power plant. These data covers the years from 2006 to the present. A detailed statistical analysis was performed to identify the most frequent meteorological conditions concerning mainly wind speed and direction. This analysis revealed that the most frequent wind blows from Northwest and North and the strongest winds blow from Northwest. Particulate matter deposition was obtained in two sampling campaigns carried out in summer and in spring. For the first campaign the monthly average flux deposition was 1.90 g/m2 and for the second campaign this value was 0.79 g/m2. Wind dispersion occurred predominantly from North to South, away from the nearest residential area, located at about 6 km to Northwest from the stacks. Nevertheless, the higher deposition fluxes occurred in the NW/N and NE/E quadrants. This study was conducted considering only the contribution of particulate matter from coal combustion, however, others sources may be present as well, such as road traffic. Additional chemical analyses and microanalysis are needed to identify the source linkage to flux deposition levels.

(Des)vantagens do regime especial de tributação dos grupos de sociedades

Dissertação para obtenção do Grau de Mestre em Contabilidade e Finanças Orientador: Mestre, Gabriela Pinheiro

Os Dízimos no Final do Antigo Regime: aspectos económicos e sociais (Minho, 1820-1834)

Dissertação de Mestrado em História dos Séculos XIX-XX (secção do século XIX)

Catalytic activity of a benzoyl hydrazone based dimeric dicopper(II) complex in catechol and alcohol oxidation reactions

The benzoyl hydrazone based dimeric dicopper(II) complex [Cu2(R)(CH3O)(NO3)]2(CH3O)2 (R-Cu2+), recently reported by us, catalyzes the aerobic oxidation of catechols (catechol (S1), 3,5- itertiarybutylcatechol (S2) and 3-nitrocatechol (S3)) to the corresponding quinones (catecholase like activity), as shown by UV–Vis absorption spectroscopy in methanol/HEPES buffer (pH 8.2) medium at 25 C. The highest activity is observed for the substituted catechol (S2) with the electron donor tertiary butyl group, resulting in a turnover frequency (TOF) value of 1.13 103 h1. The complex R-Cu2+ also exhibits a good catalytic activity in the oxidation (without added solvent) of 1-phenylethanol to acetophenone by But OOH under low power (10 W) microwave (MW) irradiation. 2014 Elsevier B.V. All rights reserved.

Catalytic oxidation of cyclohexane with hydrogen peroxide and a tetracopper(II) complex in an ionic liquid

The catalytic peroxidative oxidation (with H2O2) of cyclohexane in an ionic liquid (IL) using the tetracopper(II) complex [(CuL)2(μ4-O,O′,O′′,O′′′-CDC)]2·2H2O [HL = 2-(2-pyridylmethyleneamino)benzenesulfonic acid, CDC = cyclohexane-1,4-dicarboxylate] as a catalyst is reported. Significant improvements on the catalytic performance, in terms of product yield (up to 36%), TON (up to 529), reaction time, selectivity towards cyclohexanone and easy recycling (negligible loss in activity after three consecutive runs), are observed using 1-butyl-3-methylimidazolium hexafluorophosphate as the chosen IL instead of a molecular organic solvent including the commonly used acetonitrile. The catalytic behaviors in the IL and in different molecular solvents are discussed.

Large pseudoscalar Yukawa couplings in the complex 2HDM

We start by presenting the current status of a complex flavour conserving two-Higgs doublet model. We will focus on some very interesting scenarios where unexpectedly the light Higgs couplings to leptons and to b-quarks can have a large pseudoscalar component with a vanishing scalar component. Predictions for the allowed parameter space at end of the next run with a total collected luminosity of 300 fb(-1) and 3000 fb(-1) are also discussed. These scenarios are not excluded by present data and most probably will survive the next LHC run. However, a measurement of the mixing angle phi(tau), between the scalar and pseudoscalar component of the 125 GeV Higgs, in the decay h -> tau(+)tau(-) will be able to probe many of these scenarios, even with low luminosity. Similarly, a measurement of phi(t) in the vertex (t) over bar th could help to constrain the low tan beta region in the Type I model.