中国物理B ›› 2011, Vol. 20 ›› Issue (9): 90514-090514.doi: 10.1088/1674-1056/20/9/090514

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Elimination of spiral waves and spatiotemporal chaos by the synchronization transmission technology of network signals

张庆灵, 吕翎, 张翼   

  1. Institute of System Science, Northeastern University, Shenyang 110004, China
  • 收稿日期:2011-03-27 修回日期:2011-05-13 出版日期:2011-09-15 发布日期:2011-09-15

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)   

  1. 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
  • Received:2011-03-27 Revised:2011-05-13 Online:2011-09-15 Published:2011-09-15

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摘要： 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.

关键词: synchronization, complex network, spatiotemporal chaos, spiral waves

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.

Key words: synchronization, complex network, spatiotemporal chaos, spiral waves

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems)