New family of cubic Hamiltonian centers

Martín Eduardo Frías-Armenta, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)


© 2016, Sociedad Matemática Mexicana. We characterize the 11 non-topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a2+ b2+ c2≠ 0.
Original languageEnglish
Pages (from-to)737-758
JournalBoletin de la Sociedad Matematica Mexicana
Issue number2
Publication statusPublished - 1 Oct 2017


  • Hamiltonian system
  • Isochronous center


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