Abstract
This report considers the synchronization problem of chaotic systems with delay couplings. We have already proposed an estimation method for partial synchronization conditions and have shown the relationship between partial synchronization patterns and eigenvectors of the graph Laplacian of networks. By using this estimation method, this paper attempts to analyze partial synchronization patterns emerged in the Cartesian product network systems with time-delay. Illustrative examples are included to demonstrate the validity of the analysis.
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