Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers

Jaume Llibre, Bruno D. Lopes, Jaime R. De Moraes

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

© 2015 Texas State University. We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems of degree n.
Original languageEnglish
JournalElectronic Journal of Differential Equations
Volume2015
Publication statusPublished - 21 Oct 2015

Keywords

  • Averaging method
  • Homogeneous cubic centers
  • Isochronous center
  • Limit cycle
  • Periodic orbit
  • Polinomial vector field

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