半忆阻离散介质中残留耐火度的现象学
Phenomenology of retained refractoriness: On semi-memristive discrete media
摘要：
我们研究了二维元胞自动机，每个细胞有三种状态：静止、兴奋和不应。一个静息细胞兴奋，如果兴奋的邻居的数量位于一定的间隔（兴奋间隔）。一个兴奋的细胞变得不依赖于它的邻居的状态。一个不应细胞返回到静息状态，只有当兴奋的邻居属于恢复间隔的数量。该模型是一个可兴奋的元胞自动机抽象的空间扩展的半忆阻介质，其中细胞的静息状态象征着低电阻和不应状态高电阻。该介质是半忆阻的，因为只有从高电阻到低电阻的转变由局部激发的密度控制。我们目前的现象学分类的自动机行为的所有可能的激励间隔和恢复间隔。我们描述了11类元胞自动机保留耐火度的基础上的标准的空间填充率，形态和生成的多样性，和类型的旅行定位。
英文摘要：
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.
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