• 16º problema de Hilbert: uma motivação para o estudo de funções periódicas 

      Magno, Daniel Carlos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE, Câmpus São Carlos, 22/02/2022)
      Periodic situations are found in many aspects of general knowledge, such as the measurement of hours in a day, the movement of the waves and the translation of celestial bodies. Perhaps this is why the study of journals ...
    • Estabilidade assintótica global para equações diferenciais no plano 

      Peixoto, Magda da Silva (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 25/05/1999)
      Let x! = f(x) be a system of differential equations in the plane where / is C1. This work gives sufficient conditions which guarantee that the basin of attraction of an equilibrium point is the plane. This monograph reports ...
    • Problema de dois corpos na mecânica celeste 

      Antunes, Lucas Vinicius (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 07/01/2021)
      The objective of this work is to study celestial mechanics by retracing the mathematical foundations of Kepler's three laws, in connection with Newton's law of gravity, as to describe the planetary orbits as conic sections, ...
    • Algoritmos quânticos para resolução de equações diferenciais: análise de complexidade e aplicabilidade 

      Akamatsu, Daniel Yoshio (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Física - PPGF, Câmpus São Carlos, 11/02/2022)
      This work consists in a complexity analysis of an algorithm for solving differential equations, which shares common characteristics with other algorithms designed for the same task. Operations such as state preparation, ...
    • Estudo de algoritmos quânticos para resolução de equações diferenciais parciais 

      Ricardo, Alexandre Cesar (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Física - PPGF, Câmpus São Carlos, 02/05/2022)
      With great impact in various areas of engineering and mathematics, quantum computing is an emerging technology with one of its applications in resolving large-scale mathematical problems, such as optimization and simulation. ...