Bifurcation diagrams for 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

8 Citations (Scopus)

Abstract

© 2014 Elsevier Inc. As a natural continuation of the work done in [7] we provide the bifurcation diagrams for the global phase portraits in the Poincaré disk of all the Hamiltonian linear type centers of linear plus cubic homogeneous planar polynomial vector fields.
Original languageEnglish
Pages (from-to)846-879
JournalJournal of Differential Equations
Volume258
Issue number3
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

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

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