On the number of critical periods for planar polynomial systems of arbitrary degree

Armengol Gasull, Changjian Liu, Jiazhong Yang

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15 Citations (Scopus)

Abstract

We construct a class of planar systems of arbitrary degree n having a reversible center at the origin and such that the number of critical periods on its period annulus grows quadratically with n. As far as we know, the previous results on this subject gave systems having linear growth. © 2010 Elsevier Inc.
Original languageEnglish
Pages (from-to)684-692
JournalJournal of Differential Equations
Volume249
Issue number3
DOIs
Publication statusPublished - 1 Aug 2010

Keywords

  • Critical periods
  • Hilbert's 16th problem
  • Period function
  • Primary
  • Reversible center
  • Secondary

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