3 papers
math.DS2026
Symmetric Limit Cycles in 3D Piecewise Linear Systems with Visible-visible Two-Fold Singularity
Samuel Carlos S. Ferreira, Bruno R. Freitas, João Carlos R. Medrado
We analyze a three-dimensional discontinuous piecewise linear system \(Z=(X,Y)\) whose switching manifold \(Σ\) contains visible-visible two-fold intersection lines. Assuming that…
math.DS2021
Monodromy and Dulac's Problem for Piecewise analytical planar vector fields
Claudio Buzzi, João Carlos Medrado, Claudio Pessoa
Consider an analytical function having as its regular value, a switching manifold and a piecewise analytical vector fi…
math.DS2017
On the existence of limit cycles and invariant surfaces of sewing piecewise linear differential systems on
Bruno Rodrigues de Freitas, João Carlos Medrado
We consider a class of discontinuous piecewise linear differential systems in with two pieces separated by a plane. In this class we show that there exist differenti…