Abstract
Based on the topological characteristics of small-world networks, a nonlinear sliding mode controller is designed to minimize the effects of internal parameter uncertainties. To qualify the effects of uncertain parameters in the response networks, some effective recognition rates are designed so as to achieve a steady value in the extremely fast simulation time period. Meanwhile, the Fisher-Kolmogorov and Burgers spatiotemporal chaotic systems are selected as the network nodes for constructing a drive and a response network, respectively. The simulation results confirm that the developed sliding mode could realize the effective synchronization problem between the spatiotemporal networks, and the outer synchronization is still achieved timely even when the connection probability of the small-world networks changes.
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Citation: LIU, S., ZHANG, R. Z., WANG, Q. Y., and HE, X. Y. Sliding mode synchronization between uncertain Watts-Strogatz small-world spatiotemporal networks. Applied Mathematics and Mechanics (English Edition), 41(12), 1833–1846 (2020) https://doi.org/10.1007/s10483-020-2686-6
Project supported by the National Natural Science Foundation of China (Nos. 11602146, 11872304, and 11962019), the Science Foundation of Shanghai (No. 18ZR1438200), and the Chen Guang Project supported by Shanghai Municipal Education Commission and Shanghai Education Development Foundation (No. 16CG65)
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Liu, S., Zhang, R., Wang, Q. et al. Sliding mode synchronization between uncertain Watts-Strogatz small-world spatiotemporal networks. Appl. Math. Mech.-Engl. Ed. 41, 1833–1846 (2020). https://doi.org/10.1007/s10483-020-2686-6
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DOI: https://doi.org/10.1007/s10483-020-2686-6