Before revision:  In particular, we define the stability of a Boolean state sequence in consistency with the stability  of the original continuous trajectory that has been discretized. For a class of randomly connected systems with randomly drawn Boolean functions, so-called Kauffman networks, we find that the dynamics is stable for almost all choices of parameter values. The so-called chaotic regime in Kauffman networks appears only as a damage spreading effect after flip perturbations . We conclude that regulatory systems amenable to state discretization do not exhibit chaotic behaviour. Both resilience to noise and sensitivity to input signals come "for free" as typical properties of sufficiently dense regulatory networks.
After revision:  In particular, we define the stability of a Boolean state sequence in consistency with the stability of the original continuous dynamics probed by small perturbations. In particular, random networks of nodes with large sensitivity yield stable dynamics, in contrast to the prediction of chaos obtained by flip perturbations in Boolean networks.