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

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2-s2.0-84947249135.pdf (367.53 KB)

2-s2.0-84947249135.pdf

External sources

http://dx.doi.org/10.1016/j.amc.2015.10.079

External sources

http://dx.doi.org/10.1016/j.amc.2015.10.079

Date

Authors

De Moraes, J. R.

Type

Article

Access right

Acesso aberto

Files

2-s2.0-84947249135.pdf (367.53 KB)

2-s2.0-84947249135.pdf

External sources

http://dx.doi.org/10.1016/j.amc.2015.10.079

External sources

http://dx.doi.org/10.1016/j.amc.2015.10.079

Abstract

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.

Keywords

Averaging method , Limit cycle , Polynomial vector field , Weight-homogeneous differential system

Language

English

Citation

Applied Mathematics and Computation, v. 274, p. 47-54.

URI

http://hdl.handle.net/11449/172210

Collections

São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas

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Unit

Instituto de Biociências, Letras e Ciências Exatas

IBILCE

Campus: São José do Rio Preto

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