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 xi-, yi- or zi-component are considered. Synchronization is affected by coupling rules. We prove that synchronization occurs for either xi- or yi-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 zi-component coupling, we demonstrate by numerical experience that the synchronization cannot occur.
- Lorenz equations