Synchronicity in coupled sine circle maps; some numerical results

We study the spatially synchronised and temporally periodic orbits of a 1-d lattice of coupled sine circle maps. A numerical study of the synchronised solutions reveals synchronisation over large regions of parameter space. The entire devilʹs staircase of periodic orbits as seen for the single circle map is observed for the synchronised coupled sine circle map lattice. The parameter regions for which the synchronised solution is obtained are investigated for different types of initial conditions. These reveal interesting structures in the parameter space and appear to be symmetric about Ω = 0.5.