Cluster Formations in Rule Dynamical Systems ---Emergence of Non-Local Effects---
Cluster Formations in Rule Dynamical Systems ---Emergence of Non-Local Effects---
复制标题
规则动力系统中的簇形成——非局部效应的出现——
DOI：
10.1143/ptp.104.289
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发表时间：
2000
影响因子：
--
通讯作者：
Y. Aizawa
中科院分区：
文献类型：
--
作者：
S. Kim;Y. Aizawa
利用一维初级元胞自动机构建了规则动力系统，并详细研究了模式聚类机制。我们能够解释集群形成的时空行动的至少两个本地规则和它们的相互作用。在由局部规则之间的关系引起的各种自组织模式中，“切换现象”特别有趣。由于最近相邻簇之间的边界相互作用，一个簇的模式可以与另一个簇的模式交换。也就是说，非局部效应可以瞬间产生，超出原系统中假设的直接相互作用范围。开关现象的意义进行了简要讨论，在生物系统中的信息传递。
A rule dynamical system is constructed using one-dimensional elementary cellular automata, and the mechanism of pattern clustering is studied in detail. We are able to explain cluster formation in terms of the spatio-temporal action of at least two local rules and their interplay. Among the various self-organizing patterns which are induced by the relationships between the local rules, ‘switching phenomena’ are especially interesting. The pattern of one cluster can be exchanged with the pattern of another cluster due to boundary interactions between nearest neighboring clusters. That is, a non-local effect can be generated instantaneously beyond the direct interaction range assumed in the original system. The significance of the switching phenomena is briefly discussed in relation to the information transfer in biological systems.