Hence gene 1 fires if gene 3 is off, regardless of gene 2, etc. Finally the problems. A repeating cycle seams to emerge. Describe the pattern of activation for any single one of the genes. In dynamical systems, we speak of attractors of the network.
Attractors come in a few flavors.
Some are single states that, if the system reaches, it will stay in forever. Suppose someone gives you a big file of yeast microarray experiments. The experiments are time courses someone did 10 different hideous things to the poor yeasties and for each thing they measured the genetic expression every 5 minutes for an hour. So what you have now is 10 different trajectories of a 6000 node boolean network. What we have is a few trajectories.