Complex Systems

The Fixed String of Elementary Cellular AutomataDownload PDF

Jiang Zhisong
Department of Mathematics
East China University of Science and Technology
Shanghai 200237

Qin Dakang
School of Science
Nantong University
Nantong 226007


The concepts of a fixed string and a skew fixed string greatly affect a cellular automaton's evolution if its initial configuration contains one or both. Interesting properties are proved using the theory of symbolic dynamics and formal languages. After that, a natural classification of elementary cellular automata is introduced and corresponding classification tables are provided.