Coupled Flare Attractors - A Discrete Prototype for Economic Modelling

A chaotic environment can give rise to “flares” if an autocatalytic variable responds in a multiplicative, threshold‐type fashion to the environmental forcing. An “economic unit” similarly depends in its growth behavior on the unpredictable (chaotic?) buying habits of its customers, say. It turns ou...

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Bibliographic Details
Published inDiscrete Dynamics in Nature and Society Vol. 1999; no. 1; pp. 25 - 32
Main Authors Hartmann, Georg C., Rossler, Otto E.
Format Journal Article
LanguageEnglish
Published Hindawi Limiteds 01.01.1999
Hindawi Limited
Subjects
Diffusive coupling
Flares
Kaplan-Yorke attractors
Mathematical economics
Singular-continuous-nowhere-differentiable attractors
Mathematical economics
Diffusive coupling
Singular-continuous-nowhere-differentiable attractors
Kaplan-Yorke attractors
Flares
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Summary:A chaotic environment can give rise to “flares” if an autocatalytic variable responds in a multiplicative, threshold‐type fashion to the environmental forcing. An “economic unit” similarly depends in its growth behavior on the unpredictable (chaotic?) buying habits of its customers, say. It turns out that coupled flare attractors are surprisingly robust in the sense that the resulting “economy” is largely independent of the extent of diffusive coupling used. Some simulations are presented.
ISSN:1026-0226
1607-887X
DOI:10.1155/S1026022699000047