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

Llibre, Jaume; Lopes, Bruno D. [UNESP]; Moraes, Jaime R. de [UNESP]

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

Data

2015-01-01

Autores

Llibre, Jaume

Lopes, Bruno D.

Moraes, Jaime R. de

Editor

Elsevier B.V.

Tipo

Artigo

Direito de acesso

Acesso restrito

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.