Reversible nilpotent centers with cubic homogeneous nonlinearities

Maša Dukarić, Jaume Giné, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)


© 2015 Elsevier Inc. We provide 13 non-topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.
Original languageEnglish
Pages (from-to)305-319
JournalJournal of Mathematical Analysis and Applications
Issue number1
Publication statusPublished - 1 Jan 2016


  • Cubic polynomial differential systems
  • Nilpotent centers
  • Phase portrait
  • Two dimensional differential systems


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