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We introduce the auxiliary system 

with the boundary conditions 

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Making use of the solution U ( τ ) whose graph is represented in Figure 10 in both of the systems (2.20) and (2.21), we depict in Figure 6 the projection of the stroboscopic plot of system (2.20)-(2.21) on the V − W plane. The first 500 iterations are omitted in the simulation. The time interval [0 , 80 × 10 $^{6}$] is used and the time step is taken as Δ τ = 5000 . Since the plot does not take place on the line W = V , we conclude that generalized synchronization is not achieved in the dynamics of the coupled system (2.19)-(2.20). 

