Centers of weight-homogeneous polynomial vector fields on the plane

Jaume Giné, Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

© 2016 American Mathematical Society. We characterize all centers of planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of planar weight-homogeneous polynomial vector fields of degrees 6 and 7.
Original languageEnglish
Pages (from-to)2539-2555
JournalProceedings of the American Mathematical Society
Volume145
Issue number6
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • Chaotic system
  • Darboux integrability
  • Hopf bifurcation
  • Poincaré compactification
  • Quasi-homogeneous polynomial differential systems
  • Weight-homogeneous polynomial differential systems

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