Elimination of spiral waves and spatiotemporal chaos by the synchronization transmission technology of network signals
Zhang Qing-Ling(张庆灵)a), Lü Ling(吕翎) a)b)† , and Zhang Yi(张翼)a)c)
a Institute of System Science, Northeastern University, Shenyang 110004, China; b College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China; c College of Science, Shenyang University of Technology, Shenyang 110870, China
Abstract A method to eliminate spiral waves and spatiotemporal chaos by using the synchronization transmission technology of network signals is proposed in this paper. The character of the spiral waves and the spatiotemporal chaos in the Fitzhugh—Nagumo model is presented. The network error evolution equation with spatiotemporal variables and the corresponding eigenvalue equation are determined based on the stability theory, and the global synchronization condition is obtained. Simulations are made in a complex network with Fitzhugh—Nagumo models as the nodes to verify the effectiveness of the synchronization transmission principle of the network signal.
Zhang Qing-Ling(张庆灵), Lü Ling(吕翎), and Zhang Yi(张翼) Elimination of spiral waves and spatiotemporal chaos by the synchronization transmission technology of network signals 2011 Chin. Phys. B 20 090514
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