A simple solution to the Braga-Mello conjecture
Dynamical Systems
2015-04-29 v1
Abstract
Recently Braga and Mello conjectured that for a given natural number n there is a piecewise linear system with two zones in the plane with exactly n limit cycles. In this paper we prove a result from which the conjecture is an immediate consequence. Several explicit examples are given where location and stability of limit cycles are provided.
Keywords
Cite
@article{arxiv.1405.4435,
title = {A simple solution to the Braga-Mello conjecture},
author = {Douglas Duarte Novaes and Enrique Ponce},
journal= {arXiv preprint arXiv:1405.4435},
year = {2015}
}