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Synchronization transmission of spiral wave and turbulence in uncertain time-delay neuronal networks

Author

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  • Lü, Ling
  • Ge, Lianjun
  • Gao, Liyu
  • Han, Changhui
  • Li, Chengren

Abstract

In this paper, a new technology is proposed to research the problem of the synchronization transmission of spiral wave and turbulence between uncertain time-delay neuronal networks with different node numbers and topologies. In order to construct the Lyapunov–Krasovskii functional of the network, a special function is designed. According to our scheme, the uncertain time-delay neuronal network can transfer synchronously the spiral wave and turbulence, especially the chattering near the synchronization target can also be eliminated, which indicates that the synchronization performance of the network is more stable. At the same time, the recognition law of the network coupled matrix element is also designed to replace effectively the uncertain coupled matrix element in the network.

Suggested Citation

  • Lü, Ling & Ge, Lianjun & Gao, Liyu & Han, Changhui & Li, Chengren, 2019. "Synchronization transmission of spiral wave and turbulence in uncertain time-delay neuronal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 64-71.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:64-71
    DOI: 10.1016/j.physa.2019.03.054
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    References listed on IDEAS

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    1. Li, Chengren & Lü, Ling & Yang, Yiming & Zhou, Shuang & Hong, Yixuan, 2018. "Research on outer synchronization between uncertain time-varying networks with different node number," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2301-2309.
    2. Lu, Jianquan & Cao, Jinde, 2007. "Synchronization-based approach for parameters identification in delayed chaotic neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 672-682.
    3. Lü, Ling & Li, Chengren & Bai, Suyuan & Li, Gang & Yan, Zhe & Rong, Tingting & Gao, Yan, 2018. "Synchronization between uncertain time-delayed networks with multi-link and different topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 635-643.
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    Cited by:

    1. Guo, Yitong & Xie, Ying & Ma, Jun, 2023. "Nonlinear responses in a neural network under spatial electromagnetic radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    2. Lü, Ling & Zhang, Fuli & Han, Changhui, 2019. "Synchronization transmission of the target signal in the circuit network based on coupling technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).

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