Dynamical Excitation Intervals: Diversity and Localisations

Abstract

Back in 1998 [7], we introduced an excitable cellular automaton,where a resting cell is excited if a number of its excited neighbours belong to a fixed interval [θ ₁,θ ₂]. The interval [θ ₁,θ ₂] is called an excitation interval. For two-dimensional cellular automaton with eight-cell neighbourhood 1 ≤ θ ₁ ≤ θ ₂ ≤ 8. We found that by tuning θ ₁ and θ ₂ we can persuade the automaton to imitate almost all kinds of excitation dynamics, from classical target and spiral waves observed in physical and chemical excitable media to wave-fragments inhabiting sub-excitable media [7].