文章基本信息

标题：Relation between spatio-temporal patterns generated by two-dimensional cellular automata and a singular function
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作者：Akane Kawaharada ; Takao Namiki
期刊名称：International Journal of Networking and Computing
印刷版ISSN：2185-2847
出版年度：2019
卷号：9
期号：2
页码：354-369
出版社：International Journal of Networking and Computing
摘要：In this study, we examine the relation between the spatio-temporal patterns generated by two-dimensional symmetrical elementary cellular automata and a singular function. In a previous paper, we proved that a specific cellular automaton admits a "limit set" (a limit on the series of spatio-temporal patterns contracted with time), and we calculated the fractal dimension of the boundary of this limit set. In this paper, we provide an overview of the previous results and a more precise analysis. Numerical simulations demonstrate that the essential fractal-like patterns created by two-dimensional cellular automata are also related to a singular function.
关键词：Two-dimensional symmetrical elementary cellular automata; Fractal geometry; Singular function
其他关键词：Two-dimensional symmetrical elementary cellular automata;Fractal geometry;Singular function