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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
ABI

Abstract

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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