Aplicação da computação simbólica na resolução de problemas de condução de calor em cilindros vazados com condições de contorno convectivas

Pós-graduação em Engenharia Mecânica - FEG

Problemas elípticos com potencial que pode tender a zero no in?nito

Pós-graduação em Matemática - IBILCE

Estabilidade de sistemas dinâmicos: Estudo do memristor

Pós-graduação em Matematica Aplicada e Computacional - FCT

Satélites estabilizados por rotação e torque de radiação solar direta

The aims of this work are to analyze the direct solar radiation pressure torque (TPRS) in the rotational motion of spin-stabilized artificial satellites, to numerically implement these solutions and to compare the results with real data of the Brazilian Satellite Data Collection – SCD1 and SCD2, supplied by INPE. The mathematical model for this torque is determined for a cylindrical satellite, and the components of this torque are determined in a fixed system in the satellite. An analytical solution for the spin motion equations is proposed, in which TPRSD does not affect the spin velocity of the satellite. Two approaches are adopted in the numerical implementation of the developed theory: the first one considers the proposed theory and the second introduces a variation in the spin velocity based on its real variation. The results obtained indicate that the solar radiation pressure torque has little influence in the right ascension and declination axis of rotation due to the small dimension of the satellite and altitude in which it is found. To better validate the application of the presented theory, the angular deviation of the spin axis and solar aspect angle were also analyzed. The comparison of the results of the approaches conducted with real data show good precision in the theory, which can be applied in the prediction of the rotational motion of the spin-stabilized artificial satellites, when others external torques are considered besides the direct solar radiation pressure torque

Estudo das propriedades dinâmicas e sincronização no mapa de rede de Zaslavsky

Synchronization in nonlinear dynamical systems, especially in chaotic systems, is field of research in several areas of knowledge, such as Mechanical Engineering and Electrical Engineering, Biology, Physics, among others. In simple terms, two systems are synchronized if after a certain time, they have similar behavior or occurring at the same time. The sound and image in a film is an example of this phenomenon in our daily lives. The studies of synchronization include studies of continuous dynamic systems, governed by differential equations or studies of discrete time dynamical systems, also called maps. Maps correspond, in general, discretizations of differential equations and are widely used to model physical systems, mainly due to its ease of computational. It is enough to make iterations from given initial conditions for knowing the trajectories of system. This completion of course work based on the study of the map called ”Zaslavksy Web Map”. The Zaslavksy Web Map is a result of the combination of the movements of a particle in a constant magnetic field and a wave electrostatic propagating perpendicular to the magnetic field. Apart from interest in the particularities of this map, there was objective the deepening of concepts of nonlinear dynamics, as equilibrium points, linear stability, stability non-linear, bifurcation and chaos

Estudo de placas com várias condições de contorno e de carregamento através do método dos elementos de contorno

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

Equações de Painlevé mistas e modelo PIII-PV simétrico

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

Controle Ótimo Aplicado em um Modelo de Câncer

Pós-graduação em Matematica Aplicada e Computacional - FCT

Equações estocásticas aplicadas a sistemas biofísicos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Boa colocação da equação quase-geostrófica em Lp-fraco

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estabilidade para equações discretas autônomas

Pós-graduação em Matemática Universitária - IGCE

Métodos numéricos para equações diferencias ordinárias

Pós-graduação em Matemática Universitária - IGCE

Dark energy as a kinematic effect

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Vibração de barras em pequena amplitude com efeito geométrico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Existência e concentração de soluções para uma equação de schrödinger estacionária

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)