Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields

Ilker E. Colak, Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

16 Citations (Scopus)

Abstract

We provide normal forms and the global phase portraits in the Poincaré disk for all the Hamiltonian linear type centers of linear plus cubic homogeneous planar polynomial vector fields. © 2014 Elsevier Inc.
Original languageEnglish
Pages (from-to)1623-1661
JournalJournal of Differential Equations
Volume257
Issue number5
DOIs
Publication statusPublished - 1 Sep 2014

Keywords

  • Cubic polynomial
  • Hamiltonian linear type center
  • Phase portrait
  • Vector fields

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