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Synchronization transmission of spatiotemporal chaotic signal in the uncertain time-varying network

Author

Listed:
  • Lü, Ling
  • Chen, Liansong
  • Han, Changhui
  • Ge, Lianjun
  • Gao, Liyu

Abstract

In this paper, a new method is presented for the synchronization transmission of spatiotemporal chaotic signal in the uncertain time-varying network. By designing a special function to construct the Lyapunov function of the network, it is sure that the uncertain time-varying network can effectively synchronize the spatiotemporal chaotic signal generated by the synchronization target. At the same time, we also design the identification laws of uncertain parameters and the adaptive laws of the time-varying coupling matrix elements. Especially in our work, the nodes of the uncertain time-varying network and the synchronization target are different. Obviously, this research has the reference value for the application fields.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:467:y:2017:i:c:p:74-84
    DOI: 10.1016/j.physa.2016.10.013
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Li, Wenlin & Li, Chong & Song, Heshan, 2016. "Synchronization between uncertain nonidentical networks with quantum chaotic behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 270-277.
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    Cited by:

    1. 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.
    2. 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.
    3. Lü, Ling & Li, Chengren & Chen, Liansong & Bai, Suyuan & Ge, Lianjun & Gao, Liyu & Han, Changhui, 2018. "Outer synchronization between uncertain networks with adaptive scaling function and different node numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 909-918.
    4. Lü, Ling & Xu, Yuqing & Chen, Liansong & Li, Chengren, 2019. "Exponential synchronization of uncertain networks with the switching topology based on sliding mode technology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 121-130.

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