Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields

Ilker E. Colak, Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

25 Citations (Scopus)

Abstract

We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields. © 2014 Elsevier Inc.
Original languageEnglish
Pages (from-to)655-687
JournalAdvances in Mathematics
Volume259
DOIs
Publication statusPublished - 10 Jul 2014

Keywords

  • Cubic polynomial
  • Hamiltonian nilpotent center
  • Phase portrait
  • Vector fields

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