8 resultados para Univalent Functions with Negative Coefficients

em Repositório Científico do Instituto Politécnico de Lisboa - Portugal


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Trabalho de Projeto submetido à Escola Superior de Teatro e Cinema para cumprimento dos requisitos necessários à obtenção do grau de Mestre em Teatro, Artes Performativas – Especialização em Interpretação.

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The main purpose of this work was to study population dynamic discrete models in which the growth of the population is described by generalized von Bertalanffy's functions, with an adjustment or correction factor of polynomial type. The consideration of this correction factor is made with the aim to introduce the Allee effect. To the class of generalized von Bertalanffy's functions is identified and characterized subclasses of strong and weak Allee's functions and functions with no Allee effect. This classification is founded on the concepts of strong and weak Allee's effects to population growth rates associated. A complete description of the dynamic behavior is given, where we provide necessary conditions for the occurrence of unconditional and essential extinction types. The bifurcation structures of the parameter plane are analyzed regarding the evolution of the Allee limit with the aim to understand how the transition from strong Allee effect to no Allee effect, passing through the weak Allee effect, is realized. To generalized von Bertalanffy's functions with strong and weak Allee effects is identified an Allee's effect region, to which is associated the concepts of chaotic semistability curve and Allee's bifurcation point. We verified that under some sufficient conditions, generalized von Bertalanffy's functions have a particular bifurcation structure: the big bang bifurcations of the so-called box-within-a-box type. To this family of maps, the Allee bifurcation points and the big bang bifurcation points are characterized by the symmetric of Allee's limit and by a null intrinsic growth rate. The present paper is also a significant contribution in the framework of the big bang bifurcation analysis for continuous 1D maps and unveil their relationship with the explosion birth and the extinction phenomena.

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Do ponto de vista das preocupações de saúde, os níveis de contaminação do ar interior assumem actualmente uma elevada importância quando se tem em consideração que as pessoas passam a maior parte do seu tempo no interior de edifícios. Neste contexto, o formaldeído é um dos poluentes mais preocupantes e, inclusivamente, os resultados de concentração obtidos em habitações do espaço Europeu foram considerados preocupantes devido ao facto de estarem relacionados com efeitos negativos para a saúde. O estudo exploratório desenvolvido pretendeu disponibilizar informação acerca das concentrações de formaldeído existentes em habitações domésticas portuguesas. Estudou‑se a presença de formaldeído em habitações novas e habitações domésticas com ocupação, abrangendo 6 unidades de cada um dos tipos considerados. Para a avaliação ambiental foi utilizado um equipamento de leitura direta que deteta as concentrações de formaldeído por fotoionização com uma lâmpada de 11,7 eV. A temperatura ambiente e a humidade relativa foram igualmente medidas, de acordo com o estipulado na Norma Internacional ISO 7726:1998. No caso das habitações novas foram registados valores de concentração superiores a 0,08 ppm em 3 das unidades estudadas. Por outro lado, em 4 das habitações com ocupação foram obtidos valores superiores a 0,08 ppm. O desenvolvimento deste estudo permitiu reconhecer algumas das possíveis fontes emissoras e os factores que influenciam as concentrações de formaldeído nas habitações em Portugal. ABSTRACT - Nowadays, indoor air contamination is considering an important health issue considering that people spend most of their time indoors. In this context, formaldehyde is a pollutant of major concern and, recently, concentration results obtained in European dwellings reveal high concentrations and values related with negative health effects in occupants. The present exploratory study sought to provide information about formaldehyde concentrations in Portuguese dwellings. It was studied formaldehyde presence in new dwellings and dwellings with occupation and included 6 units of each setting. For concentrations measure, it was used a direct‑reading equipment that detects formaldehyde concentration by photoionization. Temperature and relative humidity were also measured in accordance with International Standard ISO 7726:1998. In the case of new dwellings, in 3 units concentration values were higher than 0.08 ppm. In addition, in 4 units of the 6 dwellings with occupation, concentrations higher than this reference value were obtained. The development of this study permitted to recognize some of the possible indoors emissions sources and to define several of the preventive measures that can be applied.

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In this paper we define and investigate generalized Richards' growth models with strong and weak Allee effects and no Allee effect. We prove the transition from strong Allee effect to no Allee effect, passing through the weak Allee effect, depending on the implicit conditions, which involve the several parameters considered in the models. New classes of functions describing the existence or not of Allee effect are introduced, a new dynamical approach to Richards' populational growth equation is established. These families of generalized Richards' functions are proportional to the right hand side of the generalized Richards' growth models proposed. Subclasses of strong and weak Allee functions and functions with no Allee effect are characterized. The study of their bifurcation structure is presented in detail, this analysis is done based on the configurations of bifurcation curves and symbolic dynamics techniques. Generically, the dynamics of these functions are classified in the following types: extinction, semi-stability, stability, period doubling, chaos, chaotic semistability and essential extinction. We obtain conditions on the parameter plane for the existence of a weak Allee effect region related to the appearance of cusp points. To support our results, we present fold and flip bifurcations curves and numerical simulations of several bifurcation diagrams.

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

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Dissertação apresentada à Escola Superior de Educação de Lisboa para obtenção de grau de mestre em Ciências da Educação - Especialidade Supervisão em Educação

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Mestrado em Controlo de Gestão e dos Negócios