910 resultados para Equações diferenciais não lineares


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In this work physical and behavioral models for a bulk Reflective Semiconductor Optical Amplifier (RSOA) modulator in Radio over Fiber (RoF) links are proposed. The transmission performance of the RSOA modulator is predicted under broadband signal drive. At first, the simplified physical model for the RSOA modulator in RoF links is proposed, which is based on the rate equation and traveling-wave equations with several assumptions. The model is implemented with the Symbolically Defined Devices (SDD) in Advanced Design System (ADS) and validated with experimental results. Detailed analysis regarding optical gain, harmonic and intermodulation distortions, and transmission performance is performed. The distribution of the carrier and Amplified Spontaneous Emission (ASE) is also demonstrated. Behavioral modeling of the RSOA modulator is to enable us to investigate the nonlinear distortion of the RSOA modulator from another perspective in system level. The Amplitude-to-Amplitude Conversion (AM-AM) and Amplitude-to-Phase Conversion (AM-PM) distortions of the RSOA modulator are demonstrated based on an Artificial Neural Network (ANN) and a generalized polynomial model. Another behavioral model based on Xparameters was obtained from the physical model. Compensation of the nonlinearity of the RSOA modulator is carried out based on a memory polynomial model. The nonlinear distortion of the RSOA modulator is reduced successfully. The improvement of the 3rd order intermodulation distortion is up to 17 dB. The Error Vector Magnitude (EVM) is improved from 6.1% to 2.0%. In the last part of this work, the performance of Fibre Optic Networks for Distributed and Extendible Heterogeneous Radio Architectures and Service Provisioning (FUTON) systems, which is the four-channel virtual Multiple Input Multiple Output (MIMO), is predicted by using the developed physical model. Based on Subcarrier Multiplexing (SCM) techniques, four-channel signals with 100 MHz bandwidth per channel are generated and used to drive the RSOA modulator. The transmission performance of the RSOA modulator under the broadband multi channels is depicted with the figure of merit, EVM under di erent adrature Amplitude Modulation (QAM) level of 64 and 254 for various number of Orthogonal Frequency Division Multiplexing (OFDM) subcarriers of 64, 512, 1024 and 2048.

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The main goal of this thesis is to propose a conceptual theoretical model of critical success factors of International Development Cooperation programmes that are based in knowledge transfer approaches in the context of tourism development. The research was structured around three main theoretical pillars: international development cooperation (IDC), tourism as a tool for development, and knowledge transfer (KT). By exploring these pillars´ main interrelations, it was possible to gather the necessary background to develop the theoretical model and apply it to a real context. It was adopted a qualitative research approach using as a case study an IDC programme in tourism - the UNWTO.Volunteers programme. The key contribution of this thesis in the theoretical realm is the bridging of fields of study that are insufficiently covered in the scientific literature. The resulting model proposal applied to a real context of an IDC programme implementation permitted to test it partially providing useful insights for future research. It is postulated that IDC programmes in these contexts constitute a process rather than an end in itself. Therefore, they should be seen as a way of changing the state of the art of the tourism system in a sustainable manner so that it potentially generates positive development changes. This study suggested that it is not possible to achieve positive results if, instead of encouraging a KT and learning environment, it is simply disseminated knowledge in a linear, static, north-south approach. The characteristics of these interventions should be reviewed in that it was found that it is very difficult to guarantee the maintenance of the development changes induced by them if it is not safeguarded the necessary conditions and accountability to implement the recommended actions. While it was perceived a great potential for development changes to be induced by some IDC programmes in tourism destinations, it was concluded that these processes are too much dependent on the local political systems and existing power relations, as well as on the level of tourism development of the destination. However, more research is needed to examine the ability to generalise the findings to other IDC programmes and different destinations of developing countries.

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The present work deals with the development of robust numerical tools for Isogeometric Analysis suitable for problems of solid mechanics in the nonlinear regime. To that end, a new solid-shell element, based on the Assumed Natural Strain method, is proposed for the analysis of thin shell-like structures. The formulation is extensively validated using a set of well-known benchmark problems available in the literature, in both linear and nonlinear (geometric and material) regimes. It is also proposed an alternative formulation which is focused on the alleviation of the volumetric locking pathology in linear elastic problems. In addition, an introductory study in the field of contact mechanics, in the context of Isogeometric Analysis, is also presented, with special focus on the implementation of a the Point-to-Segment algorithm. All the methodologies presented in the current work were implemented in a in-house code, together with several pre- and post-processing tools. In addition, user subroutines for the commercial software Abaqus were also implemented.

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Communication and cooperation between billions of neurons underlie the power of the brain. How do complex functions of the brain arise from its cellular constituents? How do groups of neurons self-organize into patterns of activity? These are crucial questions in neuroscience. In order to answer them, it is necessary to have solid theoretical understanding of how single neurons communicate at the microscopic level, and how cooperative activity emerges. In this thesis we aim to understand how complex collective phenomena can arise in a simple model of neuronal networks. We use a model with balanced excitation and inhibition and complex network architecture, and we develop analytical and numerical methods for describing its neuronal dynamics. We study how interaction between neurons generates various collective phenomena, such as spontaneous appearance of network oscillations and seizures, and early warnings of these transitions in neuronal networks. Within our model, we show that phase transitions separate various dynamical regimes, and we investigate the corresponding bifurcations and critical phenomena. It permits us to suggest a qualitative explanation of the Berger effect, and to investigate phenomena such as avalanches, band-pass filter, and stochastic resonance. The role of modular structure in the detection of weak signals is also discussed. Moreover, we find nonlinear excitations that can describe paroxysmal spikes observed in electroencephalograms from epileptic brains. It allows us to propose a method to predict epileptic seizures. Memory and learning are key functions of the brain. There are evidences that these processes result from dynamical changes in the structure of the brain. At the microscopic level, synaptic connections are plastic and are modified according to the dynamics of neurons. Thus, we generalize our cortical model to take into account synaptic plasticity and we show that the repertoire of dynamical regimes becomes richer. In particular, we find mixed-mode oscillations and a chaotic regime in neuronal network dynamics.

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Bacterial infections are an increasing problem for human health. In fact, an increasing number of infections are caused by bacteria that are resistant to most antibiotics and their combinations. Therefore, the scientific community is currently searching for new solutions to fight bacteria and infectious diseases, without promoting antimicrobial resistance. One of the most promising strategies is the disruption or attenuation of bacterial Quorum Sensing (QS), a refined system that bacteria use to communicate. In a QS event, bacteria produce and release specific small chemicals, signal molecules - autoinducers (AIs) - into the environment. At the same time that bacterial population grows, the concentration of AIs in the bacterial environment increases. When a threshold concentration of AIs is reached, bacterial cells respond to it by altering their gene expression profile. AIs regulate gene expression as a function of cell population density. Phenotypes mediated by QS (QSphenotypes) include virulence factors, toxin production, antibiotic resistance and biofilm formation. In this work, two polymeric materials (linear polymers and molecularly imprinted nanoparticles) were developed and their ability to attenuate QS was evaluated. Both types of polymers should to be able to adsorb bacterial signal molecules, limiting their availability in the extracellular environment, with expected disruption of QS. Linear polymers were composed by one of two monomers (itaconic acid and methacrylic acid), which are known to possess strong interactions with the bacterial signal molecules. Molecularly imprinted polymer nanoparticles (MIP NPs) are particles with recognition capabilities for the analyte of interest. This ability is attained by including the target analyte at the synthesis stage. Vibrio fischeri and Aeromonas hydrophila were used as model species for the study. Both the linear polymers and MIP NPs, tested free in solutions and coated to surfaces, showed ability to disrupt QS by decreasing bioluminescence of V. fischeri and biofilm formation of A. hydrophila. No significant effect on bacterial growth was detected. The cytotoxicity of the two types of polymers to a fibroblast-like cell line (Vero cells) was also tested in order to evaluate their safety. The results showed that both the linear polymers and MIP NPs were not cytotoxic in the testing conditions. In conclusion, the results reported in this thesis, show that the polymers developed are a promising strategy to disrupt QS and reduce bacterial infection and resistance. In addition, due to their low toxicity, solubility and easy integration by surface coating, the polymers have potential for applications in scenarios where bacterial infection is a problem: medicine, pharmaceutical, food industry and in agriculture or aquaculture.

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Bioorganic ferroelectrics and piezoelectrics are becoming increasingly important in view of their intrinsic compatibility with biological environment and biofunctionality combined with strong piezoelectric effect and switchable polarization at room temperature. Here we study piezoelectricity and ferroelectricity in the smallest amino acid glycine, representing a broad class of non-centrosymmetric amino acids. Glycine is one of the basic and important elements in biology, as it serves as a building block for proteins. Three polymorphic forms with different physical properties are possible in glycine (α, β and γ), Of special interest for various applications are non-centrosymmetric polymorphs: β-glycine and γ-glycine. The most useful β-polymorph being ferroelectric took much less attention than the other due to its instability under ambient conditions. In this work, we could grow stable microcrystals of β-glycine by the evaporation of aqueous solution on a (111)Pt/Ti/SiO2/Si substrate as a template. The effects of the solution concentration and Pt-assisted nucleation on the crystal growth and phase evolution were characterized by X-ray diffraction analysis and Raman spectroscopy. In addition, spin-coating technique was used for the fabrication of highly aligned nano-islands of β-glycine with regular orientation of the crystallographic axes relative the underlying substrate (Pt). Further we study both as-grown and tip-induced domain structures and polarization switching in the β-glycine molecular systems by Piezoresponse Force Microscopy (PFM) and compare the results with molecular modeling and computer simulations. We show that β-glycine is indeed a room-temperature ferroelectric and polarization can be switched by applying a bias to non-polar cuts via a conducting tip of atomic force microscope (AFM). Dynamics of these in-plane domains is studied as a function of applied voltage and pulse duration. The domain shape is dictated by both internal and external polarization screening mediated by defects and topographic features. Thermodynamic theory is applied to explain the domain propagation induced by the AFM tip. Our findings suggest that β-glycine is a uniaxial ferroelectric with the properties controlled by the charged domain walls which in turn can be manipulated by external bias. Besides, nonlinear optical properties of β-glycine were investigated by a second harmonic generation (SHG) method. SHG method confirmed that the 2-fold symmetry is preserved in as-grown crystals, thus reflecting the expected P21 symmetry of the β-phase. Spontaneous polarization direction is found to be parallel to the monoclinic [010] axis and directed along the crystal length. These data are confirmed by computational molecular modeling. Optical measurements revealed also relatively high values of the nonlinear optical susceptibility (50% greater than in the z-cut quartz). The potential of using stable β-glycine crystals in various applications are discussed in this work.

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As cheias provocadas por roturas de barragens constituem eventos catastróficos que podem conduzir a perdas consideráveis de vidas humanas e de bens materiais. Para melhorar a segurança, em relação a este risco potencial, torna-se necessário avaliar a segurança da população e das estruturas, existentes ou a construir, e estimar a extensão dos danos em caso de acidente. Neste estudo, após a indicação da legislação em vigor, apresenta-se uma descrição sumária do modelo DamBreak. Descrevem-se as equações básicas que definem o modelo de formação da brecha e que caracterizam o processo de formação da cheia. Também se referem as equações de Saint-Venant, as quais caracterizam o processo de propagação da cheia. De seguida é feita uma descrição da barragem de Fernandilho, do leito do Barranco d

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Neste trabalho apresenta-se um modelo de elementos finitos, baseado na teoria clássica de placas, para a análise linear e não-linear de estruturas do tipo placa/casca integrando sensores e actuadores piezoeléctricos. É usado um simples e eficiente elemento placa/casca triangular plano de 3 nós, e em cuja formulação se introduz um grau de liberdade referente ao potencial eléctrico, por cada camada piezoeléctrica do elemento finito. É utilizada a formulação Lagrangeana actualizada associada à tecnica de Newton - Raphson para a solução iterativa das equações de equilibrio .O modelo pode ser aplicado a cascas piezolaminadas com geometria e carregamento arbitrários. Apresentam-se vários exemplos ilustrativos cujos resultados mostram a eficiencia do modelo proposto.

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Neste trabalho apresenta-se um modelo de elementos finitos, baseado na teoria clássica de placas, para a análise linear e não-linear de estruturas do tipo placa/casca integrando sensores e actuadores piezoeléctricos. É usado um simples e eficiente elemento placa/casca triangular plano de 3 nós, e em cuja formulação se introduz um grau de liberdade referente ao potencial eléctrico, por cada camada piezoeléctrica do elemento finito. É utilizada a formulação Lagrangeana actualizada associada à tecnica de Newton - Raphson para a solução iterativa das equações de equilibrio .O modelo pode ser aplicado a cascas piezolaminadas com geometria e carregamento arbitrários. Apresentam-se vários exemplos ilustrativos cujos resultados mostram a eficiencia do modelo proposto.

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Os métodos utilizados na resolução de problemas, nos vários ramos da Engenharia ou ciências aplicadas, baseiam-se, actualmente, em uma de duas categorias: métodos analíticos e métodos numéricos. É preferível a utilização dos métodos analíticos, na resolução de equações ou outros modelos matemáticos, sempre que possível, uma vez que formamões gerais em vez de particularizadas, para além de uma maior informação.

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A generalidade dos problemas de ordem prática no domínio do dimensionamento das estruturas incluem variáveis discretas. Os métodos matemáticos tradicionais apresentam dificuldades na procura dos óptimos globais em problemas não lineares discretos. Os algoritmos genéticos constituem uma heurística eficaz na optimização de sistemas estruturais que envolvem variáveis discretas e contínuas. No presente trabalho, descreve-se uma metodologia que visa a optimização da forma geométrica da secção, do dimensionamento e colocação das armaduras em vigas de betão armado, com recurso a algoritmos genéticos. Apresenta-se um exemplo de aplicação da metodologia proposta.

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Os modelos matemáticos são ferramentas poderosas para avaliar o impacto humano em sistemas costeiros e estuarinos de estrutura complexa. Neste artigo utiliza-se um sistema de modelos para caracterizar o estado trófico do estuário do Sado e para prever a sua evolução baseada em diferentes cenários de intervenção humana. Analisa-se em pormenor o efeito do aumento de nutrientes introduzidos no estuário através do rio. Este estudo permite tirar conclusões sobre o impacte que esse aumento terá sobre o estuário. O sistema de modelação é composto por um modelo hidrodinâmico tridimensional às equações primitivas e modelos de transporte acoplados a modelos de transporte de sedimentos, modelos de qualidade da água e modelos ecológicos. O modelo hidrodinâmico encontra-se calibrado e validado para o sistema. Utilizam-se dados de campo de nutrientes e de fitoplâncton para comparação com os resultados do modelo. Analisam-se as características do sistema e efectua-se uma análise de sensibilidade do comportamento biológico do estuário face ao aumento da carga de nutrientes. As conclusões principais são: Confirmação da adequabilidade da metodologia utilizada para a simulação da situação actual do estuário; Pequena sensibilidade do estuário a aumentos moderados da carga de nutrientes; Sensibilidade moderada do estuário para elevadas cargas de nutrientes.

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Aplica-se uma técnica combinada de amostragem clássica, perfilagem in situ com sonda multiparamétrica e modelação matemática para avaliar a qualidade da água da Ria Formosa como meio receptor dos efluentes das ETAR’s. O sistema de modelação desenvolvido baseia-se num modelo hidrodinâmico que resolve as equações de águas pouco profundas pelo método dos volumes finitos acoplado a um modelo de transporte Lagrangiano para a simulação das plumas microbiológicas. Este sistema é usado como ferramenta de gestão para ensaiar diferentes cenários de descarga com variação da localização do ponto de descarga, analisando o impacto das alternativas no meio receptor.

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Dissertação mest., Biologia Marinha, Universidade do Algarve, 2006

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Dissertação de Mestrado, Observação e Análise da Relação Educativa, Faculdade de Ciências Humanas e Sociais, Universidade do Algarve, 2006