Ana Cristina de Oliveira Mereu

• Abstract

  This project aims at the study of nonlinear dynamic systems through the study of Bifurcation Theory. In the first phase an introductory study will be done on the basic results of the study of equilibria in nonlinear systems and the concept of structural stability. Next, the types of bifurcations of a dynamic system and their consequent qualitative changes will be studied in function of th…

  Non linear systems, bifurcations and aplications, BP.IC

• Abstract

  The objective of this project is to introduce the student in the area of planar dynamic systems by studying the number of limit cycles that bifurcate from a linear center. In the first phase an introductory study will be made on the basic results of the Qualitative Theory of Ordinary Differential Equations, with special emphasis on planar systems. Study of global aspects such as the notio…

  Limit cycles Bifurcating from planar centers, BP.IC

• Abstract

  The main goal of this project is the qualitative study of differential equations. We will study systems of linear differential equations with their planar phase portraits. Next, we will dedicate our study the qualitative theory or geometrical systems of differential equations nonlinear. Focusing on local theory of such systems, we will study the Existence and Uniqueness Theorem Solutions,…

  Introduction to the qualitative theory of differential equations, BP.IC

(Only some records are available in English at this moment)

• Abstract

  In recent years, there has been considerable interest in studying Non-Smooth Dynamical Systems because these systems are widely encountered in applications and mainly due its strong relationship with other fields of science like Mathematics and Physics or Engineering. Such differential systems can exhibit complicate dynamics such as those exhibited by general nonlinear differential system…

  Periodic orbits in non-smooth systems, BE.PQ