Discrete Dynamics in Nature and Society
Volume 3 (1999), Issue 1, Pages 25-32
doi:10.1155/S1026022699000047
Coupled flare attractors – a discrete prototype for economic modelling
Division of Theoretical Chemistry, Auf der Morgenstelle 8, University of Tüibingen, Tübingen 72076, Germany
Received 4 February 1999
Copyright © 1999 Georg C. Hartmann and Otto E. Rossler. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.