Centers of quasi-homogeneous polynomial differential equations of degree three

W. Aziz, J. Llibre, C. Pantazi

Research output: Contribution to journalArticleResearchpeer-review

16 Citations (Scopus)

Abstract

We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order. © 2013 Elsevier Inc.
Original languageEnglish
Pages (from-to)233-250
JournalAdvances in Mathematics
Volume254
DOIs
Publication statusPublished - 20 Mar 2014

Keywords

  • Centers
  • Limit cycles
  • Quasi-homogeneous polynomial systems

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