## ＜学術雑誌論文＞STABLE CONFIGURATIONS IN CELL SPACE UNDER THE THRESHOLD TYPE TRANSITION RULE

作成者 作成者名 所属機関 所属機関名 International Institute for Advanced Study of Social Information Science, Fujitsu Ltd. 富士通国際情報社会科学研究所 英語 Research Association of Statistical Sciences 統計科学研究会 1990-03 24 1/2 39 52 Version of Record open access https://doi.org/10.5109/13409 Bulletin of informatics and cybernetics || 24(1/2) || p39-52 http://bic.math.kyushu-u.ac.jp/ This paper is one of a series of the papers treating stable configurations in cell space. The strong-week relations between states are introduced in the local transition rule of the cell space. The lo...cal transition rule is systematically represented by the threshold type function. The pattern of stable configuration is remarkably changed when the thresholds of the local transition rule exceeds some critical values. It is shown that the stable configurations in the $m \times n$ cell space are dependent on both the size of the basic cell space and the type of local transition rule. Hierarchy of types of local transition rules and cluster property of stable configurations are obtained. In addition the singular stable subconfiguration is defined and it is found that a stable configuration becomes another stable configuration if a state of the singular stable subconfiguration is changed.続きを見る

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PISSN 0286-522X 2435-743X AA10634475 13409 査読有 学術雑誌論文 2009.04.22 2020.10.22