Origin of complexity and conditional predictability in cellular automata.
A simple mechanism for the emergence of complexity in cellular automata out of predictable dynamics is described. This leads to introduce the concept of conditional predictability for systems whose trajectory can only be piecewise known. The mechanism is used to construct a cellular automaton model for discrete chimeralike states, where synchrony and incoherence in an ensemble of identical oscillators coexist. The incoherent region is shown to have a periodicity that is three orders of magnitude longer than the period of the synchronous oscillation.
Institute for Advanced Study, Technische Universität München, Lichtenbergstrasse 2a, D-85748 Garching, Germany and Nonequilibrium Chemical Physics, Physics Department, Technische Universität München, James-Franck-Strasse 1, D-85748 Garching, Germany.
Vladimir
V
García-Morales