  A simple mechanism for the emergence of complexity in cellular automata out
of predictable dynamics is described. This leads to unfold 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 chimera-like 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.
