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ON LIMIT CYCLES AND TRANSIENT LENGTHS OF CELLULAR AUTOMATA WITH THRESHOD RULES

Shuichi InokuchiDepartment of Informatics, Kyushu UniversityTatsuro SatoDepartment of Mathematics, Oita National College of Technology
2000en
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In this paper, we investigate behaviors of 1-D finite cellular automata with triplet local transitions rules of fixed boundary condition. We make the number of limit cycles and transient length clear, and we show 2 theorems, one is for period length of their limit cycles and the other is for their transient length.

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