• Dinâmica topológica do operador deslocamento com pesos 

      Soares, Neilson Castro (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 20/04/2020)
      In the present work, we will do a study of linear dynamics of operators, focusing mainly on the concepts of topological transitivity, hypercyclicity and chaoticity. At rst, we will deal with non-linear dynamical systems ...
    • Três resultados de sistemas dinâmicos em dimensões baixas 

      Fernandes, Filipe Balduino Pires (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 18/12/2020)
      This work contains three independent results that can be framed within the research area named low-dimensional dynamics. The first result is a lower bound for the maximal number of inseparable leaves of non-singular ...
    • Retratos de fase de sistemas de equações diferenciais lineares com coeficientes constantes de até terceira ordem 

      Ventura, Gabriel Lacerda (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 28/09/2022)
      This study was developed with the intention of investigating the phase portraits of all linear systems with constant coefficients up to third order. For this purpose, we will determine the systems solutions, perform an ...
    • The period function for some planar piecewise vector fields 

      Santos, Mirianne Andressa Silva (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 27/04/2023)
      In this work, we study the period function for fixed families of piecewise differential vector fields with a line of discontinuities. These systems, indistinctly called piecewise or nonsmooth, appear in several applications, ...
    • On the classification of two dimensional flows 

      Thomaz, Rodrigo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 02/08/2023)
      Lawrence Markus, a well-known mathematician, published, in 1954, a strong result about classification of planar vector fields. Afterwards, Dean Arnold Neumann generalized such work for continuous flows, and the result ...