Properties of Derived Scalar Anticipatory Systems

Burke, Mark E.

doi:10.1063/1.1503667

Cited by 4 publications

(7 citation statements)

References 7 publications

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“…The paper [2] looked at some implications of replacing a causal system described by a recurrence relation with an associated self-referential or strong anticipatory system; this latter system was derived so as to preserve the fixed points of the former system, and the application of the technique was used to stabilise these fixed points. This paper extends the above approach by…”

Section: Discussionmentioning

confidence: 99%

“…(1) characterising how the stability properties of fixed points may change using the replacement technique (2) showing how the ideas can be used to destabilise unwanted fixed points.…”

Section: Discussionmentioning

confidence: 99%

“…The first scenario is investigated in [2], where the paradigm explicit in expression (10) is applied to the classes of systems described by (i) unimodal maps and (ii) maps of bounded variation to investigate the stabilising effects of strong anticipation. …”

Section: Stabilising Fixed Pointsmentioning

confidence: 99%

“…In [2], the stability properties of fixed points were investigated, particularly from the viewpoint of stabilisation by rewiring.…”

Section: Dynamics Of the Strong Anticipatory Systemmentioning

confidence: 99%

“…In [2], this approach was applied not only to scalar unimodal maps, but also to maps of bounded variation. The properties of fixed points of these systems were analysed.…”

Section: Introductionmentioning

confidence: 99%

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Further Properties of Derived Scalar Strong Anticipatory Systems

Burke¹

2004

AIP Conference Proceedings

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The study of self referential anticipatory systems derived from causal systems or recursions has received attention in recent years. This paper builds on and extends previously reported results by investigating what happens to the regular dynamics of a first order system modelled by a recursion when the recursion is replaced by an associated incursion. The effect of this replacement on the stability properties of the fixed points and cycles of the map is examined.

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Section: Discussionmentioning

confidence: 99%

“…(1) characterising how the stability properties of fixed points may change using the replacement technique (2) showing how the ideas can be used to destabilise unwanted fixed points.…”

Section: Discussionmentioning

confidence: 99%

Section: Stabilising Fixed Pointsmentioning

confidence: 99%

“…In [2], the stability properties of fixed points were investigated, particularly from the viewpoint of stabilisation by rewiring.…”

Section: Dynamics Of the Strong Anticipatory Systemmentioning

confidence: 99%

“…In [2], this approach was applied not only to scalar unimodal maps, but also to maps of bounded variation. The properties of fixed points of these systems were analysed.…”

Section: Introductionmentioning

confidence: 99%

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Further Properties of Derived Scalar Strong Anticipatory Systems

Burke¹

2004

AIP Conference Proceedings

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Scalar Weak Anticipatory Systems

Burke¹,

Fitzgerald²

2002

AIP Conference Proceedings

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Dynamic ontology as an ontological framework of anticipatory systems

Petrov

2010

Foresight

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PurposeThe paper aims to investigate what is the best ontological framework of anticipatory systems. Its aim is to argue the thesis that the ontology on which anticipatory systems are based should be a dynamic one: a kind of process ontology. It seeks to include a demonstration of the fruitfulness of such an ontological framework for the investigation of anticipatory systems.Design/methodology/approachThe methodology of the paper is a process ontological one. The objectives are achieved by a comparative analysis of the static and dynamic approaches to the ontological framework.FindingsA process ontological framework is a reliable basis for the substantiation of the thesis that there is no great gap between living and non‐living systems as far as anticipation is concerned.Practical implicationsAn example is represented of an anticipatory non‐living system that is artificially created and is programmed as a self‐control system. In this respect the paper has some practical implications.Originality/valueA new approach is suggested to the investigation of anticipatory systems. It could be of interest not only for philosophers, but also for scientists who work on ontology as technology.

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Properties of Derived Scalar Anticipatory Systems

Cited by 4 publications

References 7 publications

Further Properties of Derived Scalar Strong Anticipatory Systems

Further Properties of Derived Scalar Strong Anticipatory Systems

Scalar Weak Anticipatory Systems

Dynamic ontology as an ontological framework of anticipatory systems

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