Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2 -- from Wolfram Library Archive

Title

Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2

Authors

Jaume Llibre

Organization:

Universitat Aut�noma de Barcelona

Department:

Departament de Matem�tiques

B. D. Lopes

J. R. de Moraes

Journal / Anthology

Applied Mathematics and Computation

Year:

2016

Volume:

274

Page range:

47-54

Description

We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the unique family of weight-homogeneous polynomial differential systems of weight-degree 2 with a center. The computations has been done with the help of the algebraic manipulator Mathematica.

Subject

Applied Mathematics

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