Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields

Ilker E. Colak, Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

12 Citations (Scopus)

Abstract

© 2017 Elsevier Inc. Following the work done in [8] we provide the bifurcation diagrams for the global phase portraits in the Poincaré disk of all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields.
Original languageEnglish
Pages (from-to)5518-5533
JournalJournal of Differential Equations
Volume262
Issue number11
DOIs
Publication statusPublished - 5 Jun 2017

Keywords

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

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