New family of centers for polynomial vector fields of arbitrary degree

Anna Cima, Jaume Llibre, João C. Medrado

Research output: Contribution to journalArticleResearchpeer-review

Abstract

For all integer n > 1 we study the center variety of the 4-parameter family of real planar polynomial vector fields of degree n given, in complex notation, by Ż = iz +Azn +Bz-n, z = x + y i and A, B ε C.
Original languageEnglish
Pages (from-to)15-24
JournalCommunications on Applied Nonlinear Analysis
Volume17
Issue number2
Publication statusPublished - 1 Apr 2010

Keywords

  • Centers
  • Polynomial vector fields
  • Reversibility

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