Discrete Dynamics in Nature and Society
Volume 5 (2000), Issue 3, Pages 179-187

Chaos and complexity in a simple model of production dynamics

I. Katzorke and A. Pikovsky

Department of Physics, University of Potsdam, Germany

Received 15 March 2000

Copyright © 2000 I. Katzorke and A. Pikovsky. 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.


We consider complex dynamical behavior in a simple model of production dynamics, based on the Wiendahl’s funnel approach. In the case of continuous order flow a model of three parallel funnels reduces to the one-dimensional Bernoulli-type map, and demonstrates strong chaotic properties. The optimization of production costs is possible with the OGY method of chaos control. The dynamics changes drastically in the case of discrete order flow. We discuss different dynamical behaviors, the complexity and the stability of this discrete system.