Chimera states in globally coupled sine circle map lattices: Spatiotemporal intermittency and hyperchaos

Chimera states with coexisting phase synchronised and desynchronised groups are seen in a globally coupled sine circle map lattice with distinct values of intergroup and intragroup coupling, at some parameters. Structures similar to spatiotemporally intermittent regions, are seen in the desynchronised group. These states exhibit hyperchaos. Other states seen include fully synchronised/desynchronised states and two cluster states. The phase diagram of the system is obtained using complex order parameters. This is reproduced accurately using the average fraction of laminar/burst sites in each group, indicating the key nature of this quantity.