New family of cubic Hamiltonian centers

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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 languageUndefined/Unknown
Pages (from-to)737-758
Number of pages22
JournalBoletín de la Sociedad Matemática Mexicana
Issue number2
StatePublished - 20 Oct 2017

Bibliographical note

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© 2016, Sociedad Matemática Mexicana.


  • Hamiltonian system
  • Isochronous center

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