On the dynamics of an incursion describing the interactions between functionally differentiated subsystems of a discrete-time anticipatory system

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Abstract

Dubois coined the term incursion, for an inclusive or implicit recursion, to describe a discrete-time anticipatory system which computes its future states by reference to its future states as well as its current and past states. In this paper, we look at a model which has been proposed in the context of a social system which has functionally differentiated subsystems. The model is derived from a discrete-time compartmental SIS epidemic model. We analyse a low order instance of the model both in its form as a recursion with no anticipatory capacity, and also as an incursion with associated anticipatory capacity. The properties of the incursion are compared and contrasted with those of the underlying recursion.

Original languageEnglish
Title of host publicationComputing Anticipatory Systems - CASYS'09 - Ninth International Conference
Pages74-83
Number of pages10
DOIs
Publication statusPublished - 2010
Event9th International Conference on Computing Anticipatory Systems, CASYS'09 - Liege, Belgium
Duration: 3 Aug 20098 Aug 2009

Publication series

NameAIP Conference Proceedings
Volume1303
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference9th International Conference on Computing Anticipatory Systems, CASYS'09
Country/TerritoryBelgium
CityLiege
Period3/08/098/08/09

Keywords

  • discrete dynamical systems
  • functionally differentiated subsystems
  • incursion
  • maps with vanishing denominator
  • SIS epidemic model
  • strong anticipation

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