Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2

Autor(es)

Llibre, Jaume ^[1] ; Lopes, Bruno D. ^[2] ; de Moraes, Jaime R. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Autonoma Barcelona. Dept Matemat

^[2] Univ Autonoma Barcelona. Dept Matemat

^[3] IBILCE UNESP. Dept Matemat

• Tipo de documento: Artigo Científico
• Fonte: Applied Mathematics and Computation; v. 250, p. 887-907, JAN 1 2015.
• Citações Web of Science: 1

Resumo

The main goal of this paper is to study the maximum number of limit cycles that bifurcate from the period annulus of the cubic centers that have a rational first integral of degree 2 when they are perturbed inside the class of all cubic polynomial differential systems using the averaging theory. The computations of this work have been made with Mathematica and Maple. (C) 2014 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 10/17956-1 - Conjuntos Minimais de Sistemas Lineares por Partes
• Beneficiário: Jaime Rezende de Moraes
• Modalidade de apoio: Bolsas no Brasil - Doutorado