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Synchronization of spatiotemporal chaos in large scale rich-club network |
Lü Ling, Zou Jia-Rui, Yang Ming, Meng Le, Guo Li, Chai Yuan |
College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China |
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Abstract The Plankton spatiotemporal chaos system is taken as network node and constructed as a rich-club network through nonlinear coupling. The synchronization of spatiotemporal chaos for the above network is investigated. The general selection rule of nonlinear coupling function connecting nodes in the rich-club network is presented. Furthermore, the condition to realize the network synchronization is analyzed theoretically based on Lyapunov stability theory. Finally, the synchronization effect of spatiotemporal chaos for the rich-club network is checked through artificial simulation. The results show that complete synchronization can be realized for all rich nodes in the rich-club network and all nodes in every subnetwork constructed in star-shape.
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Received: 21 January 2010
Published: 15 October 2010
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