On generalized synchronization of spatial chaos

Consider the following two spatially generalized Logistic systems with two different real parameters:xm+1,n+ωxm,n+1=1−μ1[(1+ω)xmn]2andym+1,n+ωym,n+1=1−μ2[(1+ω)ymn]2,where ω is a constant. We introduce an analytical method for generalized synchronization of these two spatially chaotic systems. We specify a range of the coupling constant in the generalized synchronization, and characterize a nonlinear function for synchronization stability.