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

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

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Llibre, Jaume ^[1] ; Lopes, Bruno D. ^[2] ; de Moraes, Jaime R. ^[3] Total Authors: 3
Affiliation:	^[1] Univ Autonoma Barcelona. Dept Matemat ^[2] Univ Autonoma Barcelona. Dept Matemat ^[3] IBILCE UNESP. Dept Matemat Total Affiliations: 3
Document type:	Journal article
Source:	Applied Mathematics and Computation; v. 250, p. 887-907, JAN 1 2015.
Web of Science Citations:	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. (AU)

FAPESP's process:	10/17956-1 - Minimal Sets of Piecewise Linear Systems
Grantee:	Jaime Rezende de Moraes
Support Opportunities:	Scholarships in Brazil - Doctorate

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