Nonautonomous two-periodic gumovski-mira difference equations

Anna Cima, Armengol Gasull, Víctor Mañosa

Research output: Contribution to journalArticleResearchpeer-review

10 Citations (Scopus)

Abstract

We consider two types of nonautonomous two-periodic Gumovski-Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the two-periodic ones differ dramatically: in one case the behavior of the sequences is simple (integrable) and in the other case it is much more complicated (chaotic). We also present a global study of the integrable case that includes which periods appear for the recurrence. © 2012 World Scientific Publishing Company.
Original languageEnglish
Article number1250264
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume22
Issue number11
DOIs
Publication statusPublished - 1 Jan 2012

Keywords

  • Integrable and chaotic difference equations and maps
  • perturbed twist maps
  • rational difference equations with periodic coefficients

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