2011/07/31 by Martin Schuele, Ruedi Stoop · 1 citation
Physics and Astronomy · #nlin.CG
paper · pdf · doi:10.1063/1.4771662
published as Chaos 22, 043143 (2012)
arxiv created 2013/02/20 · arxiv updated 2013/02/21
Cellular automata are both computational and dynamical systems. We give a complete classification of the dynamic behaviour of elementary cellular automata (ECA) in terms of fundamental dynamic system notions such as sensitivity and chaoticity. The "complex" ECA emerge to be sensitive, but not chaotic and not eventually weakly periodic. Based on this classification, we conjecture that elementary cellular automata capable of carrying out complex computations, such as needed for Turing-universality, are at the "edge of chaos".