Nonlinear feedback-controlled generalized synchronization of spatial chaos

Consider the following two spatially generalized Logistic systems: x(m+1,n) + omegax(m,n+1) = 1- mu(1)[(1+omega)x(mn)](2) and y(m+1,n) + omegay(m,n+1) = 1 - mu(2)[(1 + omega)y(mn)](2), where omega is a real constant, and mu(1), and mu(2) are two real parameters. An analytical method is introduced for generalized synchronization of these two spatially chaotic systems, and a range of the coupling constant is specified for the generalized synchronization. Moreover, a nonlinear function is characterized for synchronization stability of the two coupled systems. (C) 2004 Elsevier Ltd. All rights reserved.