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Research on coupled synchronization of Duffing circuit network

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  • Wei, Qingtao
  • Lü, Ling
  • Jia, Hao

Abstract

We research the synchronization problem of complex network composed of N Duffing circuits. Firstly, we theoretically fit the synchronization experiment between a Duffing circuit and another Duffing circuit driven by linear coupling, and get the results consistent with the experiment. Furthermore, the synchronization technology between two Duffing circuits is extended to the synchronization of complex network composed of N Duffing circuits. Based on the stability theorem, the conditions for realizing network synchronization are determined by calculating the Lyapunov exponent of each response Duffing circuit system. Finally, the correctness of the theoretical analysis is verified by simulation.

Suggested Citation

  • Wei, Qingtao & Lü, Ling & Jia, Hao, 2019. "Research on coupled synchronization of Duffing circuit network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 247-255.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:247-255
    DOI: 10.1016/j.physa.2019.03.060
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    References listed on IDEAS

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    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.
    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. 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.
    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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    Cited by:

    1. Wang, Li & Jia, Xiaoyu & Pan, Xiuyu & Xia, Chengyi, 2021. "Extension of synchronizability analysis based on vital factors: Extending validity to multilayer fully coupled networks," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Njougouo, Thierry & Simo, Gaël R. & Louodop, Patrick & Fotsin, Hilaire & Talla, Pierre K., 2020. "Effects of intermittent coupling on synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

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