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Effects of external stimulations on transition behaviors in neural network with time-delay

Author

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  • Huang, Shoufang
  • Zhang, Jiqian
  • Hu, Chin-Kun

Abstract

We used the Hindmarsh–Rose(HR) model to study the effects of external stimulus on the time delay-induced firing behaviors and synchronization in neural networks with N coupled neurons. As time delay is changed, neural networks exhibit diversity of firing behaviors, we discussed the effect of intensity and frequency of external stimulus on these phenomena. Our results imply that both stimulus intensity and stimulus frequency have a non-trivial impact on firing patterns transitions (FPTs) behaviors and synchronization transitions in neural networks, including the change in the critical value required for time delay-induced FPT behavior and generating new modes of transition between synchronization and desynchronization. These findings provide new insight into the role of external stimulus in the firing activities of neural networks, and can help to better understand the firing phenomena in neural networks.

Suggested Citation

  • Huang, Shoufang & Zhang, Jiqian & Hu, Chin-Kun, 2019. "Effects of external stimulations on transition behaviors in neural network with time-delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    • Handle: RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119314426
    DOI: 10.1016/j.physa.2019.122517
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    References listed on IDEAS

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    1. Yu, Haitao & Wang, Jiang & Liu, Chen & Deng, Bin & Wei, Xile, 2013. "Delay-induced synchronization transitions in small-world neuronal networks with hybrid electrical and chemical synapses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5473-5480.
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    5. Huang, Shoufang & Zhang, Jiqian & Wang, Maosheng & Hu, Chin-Kun, 2018. "Firing patterns transition and desynchronization induced by time delay in neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 88-97.
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