3 papers
math.DS2026
Limit Sets and Global Bifurcation Structure in Planar Control Models with Large Hysteresis
Tiago Carvalho, Leonardo Serantola, Bruno S. Rangel
The present paper addresses a problem that may be of considerable interest to a broad audience since the systems considered here operate according to a switching protocol involving…
math.DS2026
Planar constant piecewise smooth vector fields with large hysteresis
Tiago Carvalho, Leonardo Serantola, Bruno de Souza Rangel
Throughout this work, we will carry out a rigorous mathematical analysis of a class of control systems that is widely used in applications but still lacks a consistent theoretical…
math.DS2024
On the stability of hybrid polycycles
Paulo Santana, Leonardo Pereira Serantola
In this paper we provide the stability of generic polycycles of hybrid planar vector fields, extending previous known results in the literature. The polycycles considered here may…