Spatial correlations and synchronization in coupled map lattices with long-range interactions

D VASCONCELOS, R VIANA, S LOPES, A BATISTA, S PINTO
2004 Physica A: Statistical Mechanics and its Applications  
We used numerical diagnostics to quantify spatial disorder, and its relation with temporal chaos, for a one-dimensional chain of coupled logistic maps with a coupling strength which varies with the lattice distance in a power-law fashion. The main tool is spatial return plots, whose properties are used to obtain information about the chaotic synchronized states of the system. A spatial correlation integral is introduced to characterize the clustering of points in the spatial return plots. r
doi:10.1016/s0378-4371(04)00856-8 fatcat:dke3styhnbgnpehpmog7ls2ug4