In this dissertation, we present results on the existence of limit cycles in planar differential systems, configuration of such cycles and the dynamics of nonlinear systems near periodic orbits.

Let X be a vector field of class C 2 on bidimensional compact without boundary manifold M2 and γ an orbit of X. The aim of this work is to show Schwartz’s Theorem, which states that if the limit set ω(γ) has not singular ...

The Open Digital Resource (REA- as in Portuguese) – Introduction to the Study of Vectors - was developed having concept maps design as main methodological base. According to Moreira1, "as long as students use concept maps ...

We approach potential elliptic systems involving Paneitz-Branson operators and critical nonlinearities. First, we present conditions for the existence of regular solutions of potential systems in Riemannian Geometry, a ...