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]

Artigo

Registro en:

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

https://repositorioslatinoamericanos.uchile.cl/handle/2250/8765888

Autor

Llibre, Jaume

Lopes, Bruno D. [UNESP]

Moraes, Jaime R. de [UNESP]

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

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.

MINECO/FEDER

AGAUR

ICREA Academia

FP7-PEOPLE-IRSES

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

program CSF-PVE

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

IBILCE UNESP, Dept Matemat, BR-15054000 Sao Paulo, Brazil

MINECO/FEDERMTM2008-03437

MINECO/FEDERMTM2013-40998-P

AGAUR2014 SGR568