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Synchronization of spatiotemporal networks via backstepping using neighbor information

Author

Listed:
  • Shuang Liu

    (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China)

  • Yuan Chai

    (School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 201300, P. R. China)

  • Hu Ding

    (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China3Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China)

  • Li-Qun Chen

    (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China3Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China4Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China)

Abstract

A backstepping scheme is proposed for synchronization between two complex dynamical networks with different structures. The nodes of the networks are spatiotemporal chaotic systems. A recurrence relation containing the information from neighbors is established so that only one control input is needed to synchronize two spatiotemporal networks. The Lyapunov stability theory is applied to prove that the differences between the drive and response networks tend to zero asymptotically under the control. The proposed scheme is numerically implemented in the synchronization of two networks with the Fisher–Kolmogorov and the Burgers spatiotemporal chaotic systems as the nodes.

Suggested Citation

  • Shuang Liu & Yuan Chai & Hu Ding & Li-Qun Chen, 2016. "Synchronization of spatiotemporal networks via backstepping using neighbor information," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(11), pages 1-11, November.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:11:n:s0129183116501291
    DOI: 10.1142/S0129183116501291
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