A simple solution to the Braga-Mello conjecture

Autor: Novaes, Douglas Duarte, Ponce, Enrique
Rok vydání: 2014
Předmět:
Zdroj: Int. J. Bifurcation Chaos 25, 1550009 (2015) [7 pages]
Druh dokumentu: Working Paper
DOI: 10.1142/S0218127415500091
Popis: 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.
Databáze: arXiv