244 resultados para Equações diferenciais ordinárias. Problema de valor inicial. Existência e unicidade
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Our purpose is to show the effects in the predator-prey trajectories due to parameter temporal perturbations and/or inclusion of capacitive terms in the Lotka Volterra Model. An introduction to the Lotka Volterra Model (chapter 2) required a brief review of nonlinear differential equations and stability analysis (chapter 1) , for a better understanding of our work. In the following chapters we display in sequence our results and discussion for the randomic pertubation case (chapter 3); periodic perturbation (chapter 4) and inclusion of capacitive terms (chapter 5). Finally (chapter 6) we synthesize our result
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Cancer biology is a complex and expanding field of science study. Due its complexity, there is a strong motivation to integrate many fields of knowledge to study cancer biology, and biological stoichiometry can make this. Biological stoichiometry is the study of the balance of multiple chemical elements in biological systems. A key idea in biological stoichiometry is the growth rate hypothesis, which states that variation in the carbon:nitrogen:phosphorus stoichiometry of living things is associated with growth rate because of the elevated demands for phosphorusrich ribosomal RNA and other elements necessary to protein synthesis. As tumor cells has high rate proliferation, the growth rate hypothesis can be used in cancer study. In this work the dynamic of two tumors (primary and secondary) and the chemical elements carbon and nitrogen are simulate and analyzed through mathematical models that utilize as central idea biological stoichiometry. Differential equations from mathematical model are solved by numerical method Runge-Kutta fourth order
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Even today tables are used in the calculation of structures formed by flat elements, these methods are acceptable only for a limited number of cases, but even so, in some situations, tables are used. With time some methods of differential equations resolutions were emerging and accepted as the most effective solution. Today, with the advancement in technology, there are already some programs able to solve more complex problems in less time using these methods. Aiming to optimize time and better understand the physical behavior of plates, this work presents the theory of plate, the Boundary Element Method (BEM) applied to solve problems of plates (slabs) with various boundary conditions and load through the program Placas2 (TAGUTI, Y.-2010) in Fortran language
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With the increase of stakeholders and consequently increase of amount of nancial transaction the study of news investment strategies in the stock market with data mining techniques has been the target of important researches. It allows that great historical data base to be processed and analysed looking for pattern that can be used to take a decision in investments. With the idea of getting pro t more than the real indexs' gain, we propose a strategy method of transactions using rules built by algorithm classi cation. For that, diary historical data of Ibovespa index and Petrobras stocks are organized and processed to nding the most important attribute that act decisively when taking a investment decision.To test the accuracy of proposed rules, a non real portfolio management is created, showing the decisions' performance over the real index and stocks' performance. Following the proposed rules, the results show that the strategy of investment give me back a high return that Stock market's return. The exclusive characteristics of algorithms maximize the gain inside the analysed time allowing to determine the techniques' return and the number of the days necessary to double the initial investment. The best classi er applied on the time series and its use on the propose investments strategy will demand 104 days to double the initial capital
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The term model refers to any representation of a real system. The use of models in Hydrogeology can be valuable predictive tools for management of groundwater resources. The numeric models of groundwater flow, object of this study, consist on a set of differential equations that describe the water flow in the porous medium. In this context, numeric simulations were made for a sub-basin located at Cara Preta farm – Santa Rita do Passa Quatro – SP. The aquifer at the local is composed by rocks of Pirambóia Formation, which is part of Guarani Aquifer System. It was developed a conceptual model from previous studies in the area, and from that, simulations were made through the software Visual Modflow®. The conceptual model established previously was considered consistent through the results of simulation.
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The aim of this work is to analyze the stability of the rotational motion’s artificial satellite using the Routh Hurwitz Algorithm (CRH) and the quaternions to describe the satellite’s attitude. This algorithm allows the investigation of the stability of the motion using the coefficients of the characteristic equation associated with the equation of the rotational motion in the linear form. The equations of the rotational motion are given by the four cinematic equations for the quaternion and the three equations of Euler for the spin velocity’s components. In the Euler equations are included the components of the gravity gradient torque (TGG) and the solar radiation torque (TRS). The TGG is generated by the difference of the Earth gravity force direction and intensity actuating on each satellite mass element and it depends on the mass distribution and the form of the satellite. The TRS is created by changing of the linear momentum, which happens due to the interactions of solar photons with the satellite surface. The equilibrium points are gotten by the equation of rotational motion and the CRH is applied in the linear form of these equations. Simulations are developed for small and medium satellites, but the gotten equilibrium points are not stable by CRH. However, when some of the eigenvalues of the characteristic equation are analyzed, it is found some equilibrium points which can be pointed out as stables for an interval of the time, due to small magnitude of the real part of these eigenvalue
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Pós-graduação em Engenharia Elétrica - FEIS
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Pós-graduação em Engenharia Elétrica - FEIS
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Pós-graduação em Engenharia Mecânica - FEIS
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O suco de laranja é um alimento rico em substâncias antioxidantes, como os flavonoides cítricos, vitamina C e carotenoides, que podem reduzir o estresse oxidativo que está relacionado à gênese das doenças cardiovasculares, diabetes e câncer. No entanto, o processamento da laranja para obtenção do suco interfere no tipo e quantidade dos compostos antioxidantes, podendo comprometer as ações esperadas. O objetivo deste trabalho foi avaliar a atividade antioxidante do suco de laranja, comparando os resultados após a ingestão aguda do suco de laranja fresco e do suco de laranja pasteurizado comercialmente em indivíduos adultos saudáveis. Cada voluntário foi submetido a dois tratamentos: ingestão aguda de suco de laranja fresco e, após intervalo de 30 dias, ingestão aguda de suco de laranja pasteurizado. Nos dois tratamentos foram colhidas amostras de sangue dos indivíduos antes e após a ingestão do suco de laranja. O efeito antioxidante total foi mensurado pelo ensaio do radical ABTS+ (2,2'azinobis (3-etilbenzenotiazolina 6-sulfônico) e pelo ensaio de TBARS (substâncias reativas ao ácido tiobarbitúrico) nas amostras de sangue. Observou-se um aumento de 2,2% na capacidade antioxidante do sangue a partir de 4 horas após a ingestão do suco de laranja fresco e que se manteve estável até 24 horas do consumo (p<0.05). Já com a ingestão do suco de laranja pasteurizado, a capacidade antioxidante se manteve estável e equivalente ao suco de laranja fresco nas primeiras 4 horas, mas aumentou 1,4% após 8 horas, permanecendo neste nível até as 24 horas seguintes (p<0.05). Após a ingestão do suco fresco, os níveis de peroxidação lipídica, diminuíram 27% nas primeiras 4 horas. Porém, a partir das 8 h retornaram ao valor inicial. Os resultados após o consumo do suco pasteurizado mostraram uma redução da peroxidação lipídica em 18% a partir das 4 horas e 8 h (p<0.05), e esta redução se acentuou (27%) às 24 h ...
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)