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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A Simple Solution to the Braga-Mello Conjecture

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Author(s):
Novaes, Douglas D. [1, 2] ; Ponce, Enrique [3]
Total Authors: 2
Affiliation:
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain
[2] Univ Estadual Campinas, Dept Matemat, BR-13083859 Sao Paulo - Brazil
[3] Escuela Tecn Super Ingn, Dept Matemat Aplicada 2, Seville 41092 - Spain
Total Affiliations: 3
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 25, n. 1 JAN 2015.
Web of Science Citations: 7
Abstract

Recently Braga and Mello conjectured that for a given n is an element of 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. (AU)

FAPESP's process: 13/16492-0 - Averaging Theory for studying the periodic solutions of the differential systems and its applications
Grantee:Douglas Duarte Novaes
Support type: Scholarships abroad - Research Internship - Doctorate