Abstract
In this paper, we study chaotic synchronization in lattices of coupled Lorenz equations with Neumann or periodic boundary condition. Three different coupling configurations in the single x i -, y i - or z i -component are considered. Synchronization is affected by coupling rules. We prove that synchronization occurs for either x i - or y i -component coupling provided the coupling coefficient is sufficiently large. Moreover, we determine the dependence of coupling coefficients on the lattice size. For the case of the z i -component coupling, we demonstrate by numerical experience that the synchronization cannot occur.
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