New periodic recurrences with applications

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4 Citations (Scopus)

Abstract

We develop two methods for constructing several new and explicit m-periodic difference equations. Then we apply our results to two different problems. Firstly we show that two simple natural conditions appearing in the literature are not necessary conditions for the global periodicity of the difference equations. Secondly we present the first explicit non-linear analytic potential differential system having a global isochronous center. © 2011 Elsevier Inc.
Original languageEnglish
Pages (from-to)418-425
JournalJournal of Mathematical Analysis and Applications
Volume382
DOIs
Publication statusPublished - 1 Oct 2011

Keywords

  • Centers
  • Globally periodic difference equations
  • Involutions
  • Isochronous potential systems
  • Recurrences

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