Contextual Random {Boolean} Networks

TitleContextual Random {Boolean} Networks
Publication TypeConference Paper
Year of Publication2003
AuthorsGershenson, C, Broekaert, J, Aerts, D
EditorBanzhaf, W, Christaller, T, Dittrich, P, Kim, JT, Ziegler, J
Conference NameAdvances in Artificial Life, 7th European Conference, {ECAL} 2003 {LNAI} 2801

We propose the use of Deterministic Generalized Asynchronous Random Boolean Networks (Gershenson, 2002) as models of contextual deterministic discrete dynamical systems. We show that changes in the context have drastic effects on the global properties of the same networks, namely the average number of attractors and the average percentage of states in attractors. We introduce the situation where we lack knowledge on the context as a more realistic model for contextual dynamical systems. We notice that this makes the network non-deterministic in a specific way, namely introducing a non-Kolmogorovian quantum-like structure for the modelling of the network (Aerts 1986). In this case, for example, a state of the network has the potentiality (probability) of collapsing into different attractors, depending on the specific form of lack of knowledge on the context.