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


Autoria(s): Llibre, Jaume; Lopes, Bruno D.; Moraes, Jaime R. de
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

18/03/2015

18/03/2015

01/01/2015

Resumo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Processo FAPESP-2010/17956-1

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.

Formato

887-907

Identificador

http://dx.doi.org/10.1016/j.amc.2014.11.029

Applied Mathematics And Computation. New York: Elsevier Science Inc, v. 250, p. 887-907, 2015.

0096-3003

http://hdl.handle.net/11449/116403

10.1016/j.amc.2014.11.029

WOS:000346241000077

Idioma(s)

eng

Publicador

Elsevier B.V.

Relação

Applied Mathematics And Computation

Direitos

closedAccess

Palavras-Chave #Polynomial vector fields #Limit cycles #Isochronous centers #Periodic orbits #Averaging method
Tipo

info:eu-repo/semantics/article