Z<inf>2</inf>-Symmetric planar polynomial hamiltonian systems of degree 3 with nilpotent centers

Fabio Scalco Dias, Jaume Llibre, Claudia Valls

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1 Citation (Scopus)

Abstract

© 2019 Texas State University. We provide the normal forms of all Z2-symmetric planar polynomial Hamiltonian systems of degree 3 having a nilpotent center at the origin. Furthermore, we complete the classification of the global phase portraits in the Poincaré disk of the above systems initiated by Dias, Llibre and Valls [9].
Original languageEnglish
JournalElectronic Journal of Differential Equations
Volume2019
Publication statusPublished - 1 Jan 2019

Keywords

  • Nilpotent center
  • Phase portrait
  • Poincaré compactication
  • Polynomial Hamiltonian systems
  • Z -symmetric 2

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