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Synchronization effect for uncertain quantum networks

Author

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  • Li, Wenlin
  • Gebremariam, Tesfay
  • Li, Chong
  • Song, Heshan

Abstract

We propose a novel technique for investigating the synchronization effect for uncertain networks with quantum chaotic behaviors in this paper. Through designing a special function to construct Lyapunov function of network and the adaptive laws of uncertain parameters, the synchronization between the uncertain network and the synchronization target can be realized, and the uncertain parameters in state equations of the network nodes are perfectly identified. All the theoretical results are verified by numerical simulations to demonstrate the effectiveness of the proposed synchronization technique.

Suggested Citation

  • Li, Wenlin & Gebremariam, Tesfay & Li, Chong & Song, Heshan, 2017. "Synchronization effect for uncertain quantum networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 621-627.
    • Handle: RePEc:eee:phsmap:v:465:y:2017:i:c:p:621-627
    DOI: 10.1016/j.physa.2016.08.064
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    References listed on IDEAS

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    1. Lü, Ling & Liu, Shuo & Li, Gang & Zhao, Guannan & Gu, Jiajia & Tian, Jing & Wang, Zhouyang, 2016. "Determination of configuration matrix element and outer synchronization among networks with different topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 833-839.
    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. 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.
    4. 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.
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    Cited by:

    1. Belsare, Aniruddha V. & Gompper, Matthew E. & Keller, Barbara & Sumners, Jason & Hansen, Lonnie & Millspaugh, Joshua J., 2020. "An agent-based framework for improving wildlife disease surveillance: A case study of chronic wasting disease in Missouri white-tailed deer," Ecological Modelling, Elsevier, vol. 417(C).
    2. 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.

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