Abstract

We survey the theoretical findings and a set of applications in several different fields concerning two-dimensional maps characterized by a vanishing denominator. This family of maps, and the related dynamic properties, were originally brought to the attention of the researchers through their appearance in an economic application. Nowadays such maps have also been used in other research areas such as ecology or biology confirming a broader application of the theoretical results about plane maps with vanishing denominator to various research areas.
Original languageEnglish
Pages (from-to)N/A-N/A
Number of pages11
JournalFrontiers in Applied Mathematics and Statistics
Volume2
DOIs
Publication statusPublished - 2016

Keywords

  • Focal points
  • Knot points
  • Noninvertible maps
  • Prefocal sets
  • Vanishing denominator

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