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Cluster synchronization in uncertain network with nonidentical nodes based on adaptive pinning control

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

Abstract

We investigate the cluster synchronization in uncertain network with nonidentical nodes based on adaptive pinning control. In this synchronization technology, the network can be arbitrarily divided into several clusters. And the network parameters can be uncertain and they follow a kind of the identification law. By utilizing pinning control strategy, cluster synchronization criterion for the uncertain network has been established. Finally, the numerical simulation is provided to prove the effectiveness of proposed pinning control strategy.

Suggested Citation

  • Li, Chengren & Lü, Ling & Li, Gang & Zhao, Guannan & Gao, Liyu & Ge, Lianjun & Han, Changhui, 2019. "Cluster synchronization in uncertain network with nonidentical nodes based on adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 742-749.
    • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:742-749
    DOI: 10.1016/j.physa.2018.08.151
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    References listed on IDEAS

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    1. Sivaranjani, K. & Rakkiyappan, R. & Cao, Jinde & Alsaedi, Ahmed, 2017. "Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 283-299.
    2. 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.
    3. 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.
    4. 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.
    5. Lü, Ling & Chen, Liansong & Han, Changhui & Ge, Lianjun & Gao, Liyu, 2017. "Synchronization transmission of spatiotemporal chaotic signal in the uncertain time-varying network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 74-84.
    6. Lü, Ling & Li, Chengren & Bai, Suyuan & Li, Gang & Rong, Tingting & Gao, Yan & Yan, Zhe, 2017. "Synchronization of uncertain time-varying network based on sliding mode control technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 808-817.
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    Cited by:

    1. 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.

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