Planar real polynomial differential systems of degree n > 3 having a weak focus of high order

Jaume Llibre, Roland Rabanal

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

We construct planar polynomial differential systems of even (respectively odd) degree n > 3, of linear form plus a nonlinear homogeneous part of degree n having a weak focus of order n2 - 1, respectively (n2 - 1)/2, at the origin. As far as we know this provides the highest order known until now for a weak focus of a polynomial differential system of arbitrary degree n. Copyright © 2012 Rocky Mountain Mathematics Consortium.
Original languageEnglish
Pages (from-to)657-693
JournalRocky Mountain Journal of Mathematics
Volume42
Issue number2
DOIs
Publication statusPublished - 1 Dec 2012

Keywords

  • Center
  • Polynomial vector fields
  • Weak focus

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