Phase-Space Structure of SDS and Special Systems

In this chapter we will study the phase spaces of special classes of SDS. The first part is concerned with computing the fixed-point structure of sequential dynamical systems and cellular automata over a subclass of the circulant graphs [83]. We then proceed to analyze SDS over special graph classes such as the complete graph, the line graph, and the circle graphs. We will also see that the periodic points of SDS induced by (nor _k ) _k and (nor _k + nand _k ) _k do not depend on the choice of update order. This fact is needed in Chapter 6, where we will study groups associated to a certain class of SDS.