Chaos synchronization in long-range coupled map lattices

We investigate the synchronization phenomenon in 1D coupled chaotic map lattices where the couplings decay with distance following a power-law. Depending on the number of maps, the coupling strength and the range of the interactions, complete chaos synchronization may be attained. The synchronization domain in the coupling parameter space can be analytically determined by means of the condition of negativity of the largest transversal Lyapunov exponent. In this Letter we use previously found analytical expressions for the synchronization frontier to analyze in detail the role of all the system parameters in the ability of the lattice to achieve complete synchronization. Analytical predictions are shown to be in accord with the outcomes of numerical experiments