Finite-difference calculation of donor energy levels in a spherical quantum dot subject to a magnetic field

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Deformation and tidal evolution of close-in planets and satellites using a Maxwell viscoelastic rheology

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

On Properness of Impulsive Extension

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Dinâmica secular rotacional de corpos tri-axiais: expansão de V em ressonâncias de primeira ordem

Consider a finite body of mass m (C1) with moments of inertia A, B and C. This body orbits another one of mass much larger M (C2), which at first will be taken as a point, even if it is not completely spherical. The body C1, when orbit C2, performs a translational motion near a Keplerian. It will not be a Keplerian due to external disturbances. We will use two axes systems: fixed in the center of mass of C1 and other inertial. The C1 attitude, that is, the dynamic rotation of this body is know if we know how to situate mobile system according to inertial axes system. The strong influence exerted by C2 on C1, which is a flattened body, generates torques on C1, what affects its dynamics of rotation. We will obtain the mathematical formulation of this problem assuming C1 as a planet and C2 as the sun. Also applies to case of satellite and planet. In the case of Mercury-Sun system, the disturbing potential that governs rotation dynamics, for theoretical studies, necessarily have to be developed by powers of the eccentricity. As is known, such expansions are delicate because of the convergence issue. Thus, we intend to make a development until the third order (superior orders are not always achievable because of the volume of terms generated in cases of first-order resonances). By defining a modern set of canonical variables (Andoyer), we will assemble a disturbed Hamiltonian problem. The Andoyer's Variables allow to define averages, which enable us to discard short-term effects. Our results for the resonant angle variation of Mercury are in full agreement with those obtained by D'Hoedt & Lemaître (2004) and Rambaux & Bois (2004)

Modelagem Matemática e Análise de Modelos Matemáticos na Educação Matemática

In this paper we present two studies, the first one completed and the second one in development, which are based in teaching approaches that propose the qualitative study of mathematical models as a strategy for the teaching and learning of mathematical concepts. These teaching approaches focus on subjects from Higher Education such as Introduction to Ordinary Differential Equations and Topics of Differential and Integral Calculus. We denominate this common aspect of the teaching approaches as Model Analysis and in a preliminary level we relate it with Mathematical Modeling. Furthermore, we discuss some questions related with the choice of the theme and the role of Digital Technologies when Model Analysis is applied.

Ocupação do solo em nove sub-bacias incluídas na bacia hidrográfica do Ribeirão do Faxinal - Botucatu (SP)

Expansion of agricultural practice, cattle raising and forestry, in a disorderly way and no limits of land use, generates the degradation of natural resources such as soil, water and vegetation. That fact brings consequences, impacts the environment and the rural landscape. This study aimed to identify and quantify the land use in nine watersheds included in the watershed of Faxinal creek, located in western Botucatu, São Paulo State, Brazil, at 22º 51’ 35” and 22º 57’ 02” – Latitude S and 48º 39’ 42” and 48º 38’ 01” – Longitude W. The basin was subdivided into 9 subunits, being eight from second and one from third-order branch. The diagnosis of the subunits was carried out with geospatial technologies, in order to gather data on the use and occupation of the soil. Based on the obtained results, was concluded that the sub watersheds are occupied by the sum of areas of Citrus, horticulture, coffee plantation and small other occupations (25,81%), followed by reforestation (24,80%), as an isolated occupation element, has occupied the largest area.

Considerações sobre a análise de segunda ordem de estais utilizados em torres metálicas e flares

This work is consideration of an analysis of second-order (nonlinear analysis) applied to e metal towers and flares. The analysis is mainly done using the wind efforts and the weight of the structure. The analysis itself is carried out with the aid of a structural analysis software, SAP2000 where two proposes modeling. The first for the linear effects and the second for the nonlinear effects

Nonlinear Schrodinger equation with power-law confining potential

Critical limits of a stationary nonlinear three-dimensional Schrodinger equation with confining power-law potentials (similar to r(alpha)) are obtained using spherical symmetry. When the nonlinearity is given by an attractive two-body interaction (negative cubic term), it is shown how the maximum number of particles N-c in the trap increases as alpha decreases. With a negative cubic and positive quintic terms we study a first order phase transition, that occurs if the strength g(3) of the quintic term is less than a critical value g(3c). At the phase transition, the behavior of g(3c) with respect to alpha is given by g(3c)similar to 0.0036+0.0251/alpha+0.0088/alpha(2).