Discrete Dynamics in Nature and Society
Volume 2 (1998), Issue 3, Pages 153-159

Coupled flare attractors – a discrete prototype for economic modelling

Georg C. Hartmann and Otto E. Rossler

Division of Theoretical Chemistry, Auf der Morgenstelle 8, University of Tübingen, Tübingen 72076, Germany

Received 7 January 1998

Copyright © 1998 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.


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.