New family of cubic Hamiltonian centers

Martín Eduardo Frías-Armenta, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

© 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
Volume23
Issue number2
DOIs
Publication statusPublished - 1 Oct 2017

Keywords

  • Hamiltonian system
  • Isochronous center

Fingerprint Dive into the research topics of 'New family of cubic Hamiltonian centers'. Together they form a unique fingerprint.

Cite this