Consider the following two spatially generalized Logistic systems with two different real parameters:
xm+1,n+ωxm,n+1=1−μ1[(1+ω)xmn]2
and
ym+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.
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