  We show that chimera states, where differentiated subsets of synchronized and
desynchronized dynamical elements coexist, can emerge in networks of hyperbolic
chaotic oscillators subject to global interactions. As local dynamics we employ
Lozi maps which possess hyperbolic chaotic attractors. We consider a globally
coupled system of these maps and use two statistical quantities to describe its
collective behavior: the average fraction of elements belonging to clusters and
the average standard deviation of state variables. Chimera states, clusters,
complete synchronization, and incoherence are thus characterized on the space
of parameters of the system. We find that chimera states are related to the
formation of clusters in the system. In addition, we show that chimera states
arise for a sufficiently long range of interactions in nonlocally coupled
networks of these maps. Our results reveal that, under some circumstances,
hyperbolicity does not impede the formation of chimera states in networks of
coupled chaotic systems, as it had been previously hypothesized.
