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Design of synchronization technique for uncertain discrete network group with diverse structures

Author

Listed:
  • Lü, Ling
  • Li, Chengren
  • Li, Gang
  • Sun, Ao
  • Yan, Zhe
  • Rong, Tingting
  • Gao, Yan

Abstract

In this work, we design a novel synchronization technique to realize the synchronization of the network group which is constituted by some uncertain discrete networks with diverse structures. Based on Lyapunov theorem, the selection principle of the control inputs and identification law of uncertain parameters in networks are determined, and the synchronization conditions of network group are obtained. Finally, numerical simulations using one-dimensional convective equations with spatiotemporal chaos behaviors illustrate the performance of the synchronization scheme. The research results show that our synchronization technique can be suitable for the network connecting arbitrarily, and not only the network number but also node number in each network can also be chosen freely.

Suggested Citation

  • Lü, Ling & Li, Chengren & Li, Gang & Sun, Ao & Yan, Zhe & Rong, Tingting & Gao, Yan, 2017. "Design of synchronization technique for uncertain discrete network group with diverse structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 543-551.
    • Handle: RePEc:eee:phsmap:v:465:y:2017:i:c:p:543-551
    DOI: 10.1016/j.physa.2016.08.065
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    References listed on IDEAS

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    1. Yu, Haitao & Wang, Jiang & Liu, Chen & Deng, Bin & Wei, Xile, 2013. "Delay-induced synchronization transitions in small-world neuronal networks with hybrid electrical and chemical synapses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5473-5480.
    2. Lü, Ling & Chen, Liansong & Bai, Suyuan & Li, Gang, 2016. "A new synchronization tracking technique for uncertain discrete network with spatiotemporal chaos behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 314-325.
    3. Yu, Haitao & Wang, Jiang & Liu, Qiuxiang & Sun, Jianbing & Yu, Haifeng, 2013. "Delay-induced synchronization transitions in small-world neuronal networks with hybrid synapses," Chaos, Solitons & Fractals, Elsevier, vol. 48(C), pages 68-74.
    4. Li, Chengren & Lü, Ling & Sun, Ying & Wang, Ying & Wang, Wenjun & Sun, Ao, 2016. "Parameter identification and synchronization for uncertain network group with different structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 624-631.
    5. Sakthivel, R. & Anbuvithya, R. & Mathiyalagan, K. & Ma, Yong-Ki & Prakash, P., 2016. "Reliable anti-synchronization conditions for BAM memristive neural networks with different memductance functions," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 213-228.
    6. Zhou, Guangye & Li, Chengren & Li, Tingting & Yang, Yi & Wang, Chen & He, Fangjun & Sun, Jingchang, 2016. "Outer synchronization investigation between WS and NW small-world networks with different node numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 506-513.
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