Abstract:

The authors introduced the conception of generalized Langton parameters λ₁ and λ₂ to the onedimensional total rule cellular automata with k=3,r=2. The authors studied the rule space of Wolfram class Ⅰ total rule cellular automata and obtained the figures of relation between λ_1 and R, λ_2 and R and the phase figure. The results show that de
scribing the total rule space of onedimensional cellular automata with k=3, r=2with two parameters λ₁ and λ_2, one can obtain more detailed phase space structure of Wolfram class Ⅰ.

Key words: total rule cellular automata, Wolfram class Ⅰ, Langton parameter