@inproceedings{49b275399410433a87748112393daf75,
title = "On the dynamics of an incursion describing the interactions between functionally differentiated subsystems of a discrete-time anticipatory system",
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.",
keywords = "discrete dynamical systems, functionally differentiated subsystems, incursion, maps with vanishing denominator, SIS epidemic model, strong anticipation",
author = "Burke, {Mark E.}",
year = "2010",
doi = "10.1063/1.3527188",
language = "English",
isbn = "9780735408586",
series = "AIP Conference Proceedings",
pages = "74--83",
booktitle = "Computing Anticipatory Systems - CASYS'09 - Ninth International Conference",
note = "9th International Conference on Computing Anticipatory Systems, CASYS'09 ; Conference date: 03-08-2009 Through 08-08-2009",
}