Synchronization Patterns in Network-of-Networks of Chaotic Systems via Cartesian Product**This work was partially supported by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research(No.26420424)

Kanaru Oooka, Toshiki Oguchi · IFAC-PapersOnLine · 2015

This paper considers the synchronization problem in network-of-networks of chaotic systems with time-delay. We have already proposed an estimation method for full/partial synchronization conditions for networks of chaotic systems via the Cartesian product. In this paper, we attempt to estimate full/partial synchronization conditions for the Cartesian product networks with time-delay by using the scaling method for synchronization condition and the properties of the Cartesian product. The validity of the estimation method is tested through a numerical example.

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