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arXiv · 1405.4435

A simple solution to the Braga-Mello conjecture

Douglas Duarte Novaes·Enrique Ponce
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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.

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Douglas Duarte Novaes, Enrique Ponce. 2014-05-17. A simple solution to the Braga-Mello conjecture. https://doi.org/10.1142/s0218127415500091

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