On Patterns and Dynamics of Rule 22 Cellular Automaton
Laboratorio de Ciencias de la Computación Escuela Superior de Cómputo Instituto Politécnico Nacional, México, Genaro J. Martínez, Andrew Adamatzky, Rolf Hoffmann, Technische Universität Darmstadt, Dominique Désérable, Institut National des Sciences Appliquées, Ivan Zelinka, Fakulta Elektrotechniky a Informatiky Technická Univerzita Ostrava, Czechia · Complex Systems · 2019
Rule 22 elementary cellular automaton (ECA) has a 3--cell neighborhood, binary cell states, where a cell takes state `1' if there is exactly one neighbor, including the cell itself, in state `1'. In Boolean terms the cell-state transition is a XOR function of three cell states. In physico--chemical terms the rule might be seen as describing propagation of self-inhibiting quantities/species. Space-time dynamics of Rule 22 demonstrates non-trivial patterns and quasi-chaotic behavior. We characterize the phenomena observed in this rule using mean field theory, attractors, de Bruijn diagrams, subset diagrams, filters, fractals and memory.