  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 such as globally phase synchronised states, two
phase clustered states and fully phase desynchronised states. We estimate the
volume of the basin of attraction of each kind of solution. The STI chimera
region is studied in further detail via numerical and analytic stability
analysis, and the Lyapunov spectrum is calculated. This state is identified to
be hyperchaotic as the two largest Lyapunov exponents are found to be positive.
The distributions of laminar and burst lengths in the incoherent region of the
chimera show exponential behaviour. The average fraction of laminar/burst sites
is identified to be the important quantity which governs the dynamics of the
chimera. After an initial transient, these settle to steady values which can be
used to reproduce the phase diagram in the chimera regime.
