Phenomenology of Retained refractoriness: on Semi-Memristive discrete Media

Phenomenology of Retained refractoriness: on Semi-Memristive discrete Media
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DOI:
10.1142/s0218127412300364
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发表时间:
2011-11
期刊:
ArXiv
影响因子:
--
通讯作者:
A. Adamatzky;L. Chua
A. Adamatzky;L. Chua
中科院分区:
其他
文献类型:
--
作者:
A. Adamatzky;L. Chua

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我们研究二维元胞自动机,每个元胞有三种状态:静止、兴奋和不应。如果兴奋的邻居数量处于某个区间(兴奋间隔),则静息细胞就会兴奋。一个兴奋的细胞会独立于其邻居的状态而变得难以控制。仅当兴奋邻居的数量属于恢复区间时,难熔细胞才返回到静止状态。该模型是空间扩展的半忆阻介质的可兴奋细胞自动机抽象,其中细胞的静息状态象征着低电阻,不应状态象征着高电阻。该介质是半忆阻的,因为只有从高电阻到低电阻的转变是由局部激励密度控制的。我们提出了所有可能的激励区间和恢复区间的自动机行为的现象学分类。我们根据空间填充率、形态和生成多样性以及移动定位类型的标准描述了 11 类具有保留不应性的元胞自动机。
We study two-dimensional cellular automata, each cell takes three states: resting, excited and refractory. A resting cell excites if number of excited neighbours lies in a certain interval (excitation interval). An excited cell become refractory independently on states of its neighbours. A refractory cell returns to a resting state only if the number of excited neighbours belong to recovery interval. The model is an excitable cellular automaton abstraction of a spatially extended semi-memristive medium where a cell's resting state symbolises low-resistance and refractory state high-resistance. The medium is semi-memristive because only transition from high- to low-resistance is controlled by density of local excitation. We present phenomenological classification of the automata behaviour for all possible excitation intervals and recovery intervals. We describe eleven classes of cellular automata with retained refractoriness based on criteria of space-filling ratio, morphological and generative diversity, and types of travelling localisations.