Qualitative analysis of nonlinear behavior by implementing automata networks of influence diagrams

According to Forrester (1961), feedback systems can be represented by causal-loop diagrams which make easier the further implementation of continuous models. The first originality of the paper consists in transforming these diagrams into automata networks and in studying their dynamics. Then, we show the complementarity between continuous simulation based on system dynamics as modeling methodology and parallel computing of automata networks. To demonstrate this duality, we developed a simple example based on a particular dyadic model. This research aims to prove that it is possible to analyze instabilities and chaos in the behavior of nonlinear feedback systems, by running simultaneously continuous simulation and neural computing. Finally, we present an application of this approach in our principal research field, which is industrial management