New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree

Jaume Llibre, Marzieh Mousavi, Arefeh Nabavi

Research output: Contribution to journalArticleResearch

1 Citation (Scopus)

Abstract

© 2019, Springer Science+Business Media, LLC, part of Springer Nature. The problem of distinguishing between a focus and a center is one of the classical problems in the qualitative theory of planar differential systems. In this paper, we provide a new family of centers of polynomial differential systems of arbitrary even degree. Moreover, we classify the global phase portraits in the Poincaré disc of the centers of this family having degree 2, 4, and 6.
Original languageEnglish
Pages (from-to)619-630
JournalJournal of Dynamical and Control Systems
Volume25
DOIs
Publication statusPublished - 15 Oct 2019

Keywords

  • Center
  • First integral
  • Invariant algebraic curve
  • Poincaré compactification

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