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

Mark E. Burke

doi:10.1063/1.3527188

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

Mark E. Burke

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	English
Title of host publication	Computing Anticipatory Systems - CASYS'09 - Ninth International Conference
Pages	74-83
Number of pages	10
DOIs	https://doi.org/10.1063/1.3527188
Publication status	Published - 2010
Event	9th International Conference on Computing Anticipatory Systems, CASYS'09 - Liege, Belgium Duration: 3 Aug 2009 → 8 Aug 2009

Publication series

Name	AIP Conference Proceedings
Volume	1303
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	9th International Conference on Computing Anticipatory Systems, CASYS'09
Country/Territory	Belgium
City	Liege
Period	3/08/09 → 8/08/09

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

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

Access to Document

10.1063/1.3527188

Cite this

@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 = "SIS epidemic model, discrete dynamical systems, functionally differentiated subsystems, incursion, maps with vanishing denominator, 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",

}

Burke, ME 2010, On the dynamics of an incursion describing the interactions between functionally differentiated subsystems of a discrete-time anticipatory system. in Computing Anticipatory Systems - CASYS'09 - Ninth International Conference. AIP Conference Proceedings, vol. 1303, pp. 74-83, 9th International Conference on Computing Anticipatory Systems, CASYS'09, Liege, Belgium, 3/08/09. https://doi.org/10.1063/1.3527188

On the dynamics of an incursion describing the interactions between functionally differentiated subsystems of a discrete-time anticipatory system. / Burke, Mark E.
Computing Anticipatory Systems - CASYS'09 - Ninth International Conference. 2010. p. 74-83 (AIP Conference Proceedings; Vol. 1303).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - On the dynamics of an incursion describing the interactions between functionally differentiated subsystems of a discrete-time anticipatory system

AU - Burke, Mark E.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - SIS epidemic model

KW - discrete dynamical systems

KW - functionally differentiated subsystems

KW - incursion

KW - maps with vanishing denominator

KW - strong anticipation

UR - https://www.scopus.com/pages/publications/79251559700

U2 - 10.1063/1.3527188

DO - 10.1063/1.3527188

M3 - Conference contribution

AN - SCOPUS:79251559700

SN - 9780735408586

T3 - AIP Conference Proceedings

SP - 74

EP - 83

BT - Computing Anticipatory Systems - CASYS'09 - Ninth International Conference

T2 - 9th International Conference on Computing Anticipatory Systems, CASYS'09

Y2 - 3 August 2009 through 8 August 2009

ER -

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

Abstract

Publication series

Conference

UN SDGs

Keywords

Access to Document

Other files and links

Fingerprint

Cite this