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

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

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/116403

Title:

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

Author(s):

Institution:

Univ Autonoma Barcelona
Universidade Estadual Paulista (UNESP)

ISSN:

0096-3003

Sponsorship:

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)

Sponsorship Process Number:

MINECO/FEDERMTM2008-03437
MINECO/FEDERMTM2013-40998-P
AGAUR2014 SGR568
FP7-PEOPLE-IRSES318999
FP7-PEOPLE-IRSES316338
CAPES: 88881
program CSF-PVE030454/2013-01
CNPq: 472796/2013-5
FEDER-UNAB-10-4E-378
CAPES/GDU-7500/13-0
FAPESP-2010/17956-1

Abstract:

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.

Issue Date:

1-Jan-2015

Citation:

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

Time Duration:

887-907

Publisher:

Elsevier B.V.

Keywords:

Polynomial vector fields
Limit cycles
Isochronous centers
Periodic orbits
Averaging method

Source:

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

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/116403

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