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We study two-dimensional cellular automata, each cell takes three states:resting, excited and refractory. A resting cell excites if number of excitedneighbours lies in a certain interval (excitation interval). An excited cellbecome refractory independently on states of its neighbours. A refractory cellreturns to a resting state only if the number of excited neighbours belong torecovery interval. The model is an excitable cellular automaton abstraction ofa spatially extended semi-memristive medium where a cell's resting statesymbolises low-resistance and refractory state high-resistance. The medium issemi-memristive because only transition from high- to low-resistance iscontrolled by density of local excitation. We present phenomenologicalclassification of the automata behaviour for all possible excitation intervalsand recovery intervals. We describe eleven classes of cellular automata withretained refractoriness based on criteria of space-filling ratio, morphologicaland generative diversity, and types of travelling localisations.

Phenomenology of retained refractoriness: On semi-memristive discrete media