  We study the existence of chimera states, i.e. mixed states, in a globally
coupled sine circle map lattice, with different strengths of inter-group and
intra-group coupling. We find that at specific values of the parameters of the
CML, a completely random initial condition evolves to chimera states, having a
phase synchronised and a phase desynchronised group, where the space time
variation of the phases of the maps in the desynchronised group shows
structures similar to spatiotemporally intermittent regions. Using the complex
order parameter we obtain a phase diagram that identifies the region in the
parameter space which supports chimera states of this type, as well as other
types of phase configurations. An equivalent cellular automaton is obtained
which shows space time behaviour similar to the CML. We also derive a mean
field equation for this cellular automaton and compare its solutions with the
corresponding phase configurations obtained in the parameter space, and show
that it matches with the behavior seen for the CML.
