Algebraic properties of cellular automata
Abstract
Cellular automata are discrete dynamical systems, of simple construction but complex and varied behaviour. Algebraic techniques are used to give an extensive analysis of the global properties of a class of finite cellular automata. The complete structure of state transition diagrams is derived in terms of algebraic and number theoretical quantities. The systems are usually irreversible, and are found to evolve through transients to attractors consisting of cycles sometimes containing a large number of configurations.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 June 1984
 DOI:
 10.1007/BF01223745
 Bibcode:
 1984CMaPh..93..219M