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Synchronization transmission of the target signal in the circuit network based on coupling technique

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  • Lü, Ling
  • Zhang, Fuli
  • Han, Changhui

Abstract

We research the synchronization transmission of the target signal in the circuit network composed of modified autonomous Van der Pol-Duffing (MAVPD) circuit based on coupling technique. First, we introduce the characteristics of MAVPD circuit. At the same time, the synchronization transmission of the target signal originated from a single MAVPD circuit is researched based on the coupling technique. By calculating the Lyapunov exponent of the coupling circuit, the range of the coupling coefficient is determined when the target signal is transmitted synchronously. Furthermore, the MAVPD circuits are used as the nodes to construct the circuit network, and the synchronization transmission of the target signal in the circuit network is researched. Finally, we test the effect of noise on network synchronization performance.

Suggested Citation

  • Lü, Ling & Zhang, Fuli & Han, Changhui, 2019. "Synchronization transmission of the target signal in the circuit network based on coupling technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    • Handle: RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119313895
    DOI: 10.1016/j.physa.2019.122412
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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. 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 & Ge, Lianjun & Gao, Liyu & Han, Changhui & Li, Chengren, 2019. "Synchronization transmission of spiral wave and turbulence in uncertain time-delay neuronal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 64-71.
    4. 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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