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

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

Applied Mathematics and Computation, 2015, vol. 250, issue C, 887-907

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.

Keywords: Polynomial vector fields; Limit cycles; Isochronous centers; Periodic orbits; Averaging method (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:887-907

DOI: 10.1016/j.amc.2014.11.029

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