2004
DOI: 10.1063/1.1787326
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Further Properties of Derived Scalar Strong Anticipatory Systems

Abstract: 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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Cited by 3 publications
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“…1. It has the globally attracting fixed point at x = 0 for a < 4, and two additional fixed points for a ≥ 4 [15] [16]. The smaller A is always unstable, and determines a threshold below which extinction ensues.…”
Section: Strong and Weak Anticipative Controlmentioning
confidence: 99%
“…1. It has the globally attracting fixed point at x = 0 for a < 4, and two additional fixed points for a ≥ 4 [15] [16]. The smaller A is always unstable, and determines a threshold below which extinction ensues.…”
Section: Strong and Weak Anticipative Controlmentioning
confidence: 99%