Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers

Fabio Scalco Dias, Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

© 2017 International Association for Mathematics and Computers in Simulation (IMACS) We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin.
Original languageEnglish
Pages (from-to)60-77
JournalMathematics and Computers in Simulation
Volume144
DOIs
Publication statusPublished - 1 Feb 2018

Keywords

  • Nilpotent center
  • Phase portrait
  • Poincaré compactification
  • Polynomial Hamiltonian systems

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