2011/11/15 by Andrew Adamatzky, ANDREW ADAMATZKY, LEON O. CHUA +1
Computer Science · Engineering · Physics and Astronomy · #Abstraction #Advanced Memory and Neural Computing #Automaton #Cellular Automata and Applications #Cellular automaton #Excitation #Excited state #Nonlinear Dynamics and Pattern Formation #Phenomenology (philosophy) #Refractory period #cs.ET #nlin.CG
paper · pdf · doi:10.1142/s0218127412300364
published as International Journal of Bifurcation and Chaos, Vol. 22, No. 11 (2012) 1230036 (19 pages)
arxiv created 2011/11/15 · openalex publication_date 2012/11/01 · arxiv updated 2013/02/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study two-dimensional cellular automata, each cell takes three states: resting, excited and refractory. A resting cell excites if the number of excited neighbors lies in a certain interval (excitation interval). An excited cell becomes refractory independently on states of its neighbors. A refractory cell returns to a resting state only if the number of excited neighbors 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 symbolizes low-resistance and refractory state high-resistance. The medium is semi-memristive because only transition from high- to low-resistance is controlled by the density of local excitation. We present a phenomenological classification of the automata behavior for all possible excitation intervals and recovery intervals. We describe eleven classes of cellular automata with retained refractoriness based on the criteria of space-filling ratio, morphological and generative diversity, and types of traveling localizations.