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

J. Llibre, B. D. Lopes, J. R. De Moraes

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

© 2015 Elsevier Inc. All rights reserved. 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.
Original languageEnglish
Pages (from-to)47-54
JournalApplied Mathematics and Computation
Volume274
DOIs
Publication statusPublished - 1 Feb 2016

Keywords

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

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