85 resultados para Vanishing Theorems
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Pós-graduação em Educação Matemática - IGCE
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Pós-graduação em Psicologia - FCLAS
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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We introduce the notion of a PT-symmetric dimer with a chi((2)) nonlinearity. Similarly to the Kerr case, we argue that such a nonlinearity should be accessible in a pair of optical waveguides with quadratic nonlinearity and gain and loss, respectively. An interesting feature of the problem is that because of the two harmonics, there exist in general two distinct gain and loss parameters, different values of which are considered herein. We find a number of traits that appear to be absent in the more standard cubic case. For instance, bifurcations of nonlinear modes from the linear solutions occur in two different ways depending on whether the first-or the second-harmonic amplitude is vanishing in the underlying linear eigenvector. Moreover, a host of interesting bifurcation phenomena appear to occur, including saddle-center and pitchfork bifurcations which our parametric variations elucidate. The existence and stability analysis of the stationary solutions is corroborated by numerical time-evolution simulations exploring the evolution of the different configurations, when unstable.
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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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Six species of the genus Callithrix can be found across the Atlantic Forest extension, being the Callithrix geoffroyi, Geoffroy`s marmoset, the least studied species. The objective of this study is to investigate the behavioral aspects of the species in captivity, and how the environmental enrichment techniques influence those behaviors. To this end, we have studied three specimens of C. geoffroyi, in captivity at Municipal Zoo of Piracicaba, São Paulo. The enclosure includes a 37m2 with under masonry, concrete platforms with external deep, trunks, a floor of grass and soil, e grid in their other three sides. The sampling method was focal per time interval, with records every 30 seconds in sessions of 30 minutes, totaling 30 hours for each animal, which were distributed in a baseline phase, an environmental enrichment phase and post-enrichment phase (n = 3660 records in each phase). The twelve enrichment techniques were applied: the physical environment (branches for perches and hoses fabrics for bedding and vanishing points), cognitive (radio, mirror, puzzle food) and food (insects, flowers and eggs hidden, wrapped). Initially, to determine the period of greatest activity of marmosets, we investigated the pattern of activity for three days (9:00 am to 17:00 pm) consecutively at intervals of 15 minutes, recording the number of active and inactive individuals. The 495 records signaled greater activity in the morning, then selected period for the completion of this work. The ethogram comprised 16 behaviors. The inactivity was the predominant phase behavior baseline and post-enrichment with a significant decrease (h=8,62, p <0.01) in the enrichment phase, and a significant increase in the post enrichment (h=18,15, p <0.001). The same was seen for the use of substrate (grid and ground vs. Trunk and concrete, h=5,09, p <0.001 and h=3,98, p <0.05)... (Complete abstract click electronic access below)
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In this work, studies aimed at evaluating the unification of concepts and theorems of vector analysis that contributed to the understanding of physical problems in a more comprehensive and more concise than using vector calculus. We study the electrodinamics with differential forms. Were also presented Maxwell's relations with formalism of differential forms in addition allowing formulation one more geometric and generalized. Another feature observed during the study of formalism presented was the possibility of it serving as a substitute to the tensor formalism
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)