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Cluster synchronization transmission of different external signals in discrete uncertain network

Author

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  • Li, Chengren
  • Lü, Ling
  • Chen, Liansong
  • Hong, Yixuan
  • Zhou, Shuang
  • Yang, Yiming

Abstract

We research cluster synchronization transmissions of different external signals in discrete uncertain network. Based on the Lyapunov theorem, the network controller and the identification law of uncertain adjustment parameter are designed, and they are efficiently used to achieve the cluster synchronization and the identification of uncertain adjustment parameter. In our technical scheme, the network nodes in each cluster and the transmitted external signal can be different, and they allow the presence of uncertain parameters in the network. Especially, we are free to choose the clustering topologies, the cluster number and the node number in each cluster.

Suggested Citation

  • Li, Chengren & Lü, Ling & Chen, Liansong & Hong, Yixuan & Zhou, Shuang & Yang, Yiming, 2018. "Cluster synchronization transmission of different external signals in discrete uncertain network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 238-247.
    • Handle: RePEc:eee:phsmap:v:501:y:2018:i:c:p:238-247
    DOI: 10.1016/j.physa.2018.02.156
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    References listed on IDEAS

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    1. Li, Chengren & Lü, Ling & Zhao, Guannan & Li, Gang & Tian, Jing & Gu, Jiajia & Wang, Zhouyang, 2017. "Projective synchronization of uncertain scale-free network based on modified sliding mode control technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 511-521.
    2. Shahed Vahedi & Mohd Salmi Md Noorani, 2016. "Cluster modified projective synchronization between networks with distinct topologies," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(08), pages 1-11, August.
    3. Li, Wenlin & Li, Chong & Song, Heshan, 2016. "Synchronization transmission of target signal within the coupling network with quantum chaos effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 579-585.
    4. 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.
    5. Ghada Al-Mahbashi & Mohd Salmi Md Noorani & Sakhinah Abu Bakar, 2014. "Projective lag synchronization in drive-response dynamical networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(11), pages 1-11.
    6. Lü, Ling & Li, Chengren & Li, Gang & Bai, Suyuan & Gao, Xinyu & Zhang, Hanbing, 2017. "Synchronization transmission of spiral wave and turbulence within the uncertain switching network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 85-98.
    7. Lü, Ling & Li, Chengren & Bai, Suyuan & Gao, Liyu & Ge, Lianjun & Han, Changhui, 2017. "Cluster synchronization between uncertain networks with different dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 429-437.
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    Cited by:

    1. Wang, Zhen & Wang, Chongjie & Chen, Jianxing, 2019. "Signal transmission in multiple laser systems based on parallel driving technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 294-301.
    2. Lü, Ling & Xu, Yuqing & Li, Ying & Li, Gang & Li, Chengren & Chen, Liansong, 2019. "Synchronization transmission of laser pattern signals between uncertain networks constructed by Gibbs laser spatial expanded models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 352-361.
    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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