Synchronization of spatiotemporal networks via backstepping using neighbor information

Shuang Liu (), Yuan Chai (), Hu Ding and Li-Qun Chen
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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

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 11, 1-11

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.

Keywords: Synchronization; complex networks; control; backstepping; spatiotemporal chaos (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116501291

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