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Study on electrical synapse coupling synchronization of Hindmarsh-Rose neurons under Gaussian white noise

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Abstract

This paper studies the electrical synapse coupling synchronization of Hindmarsh-Rose neurons as well as the effect that Gaussian white noise has on coupling neuron synchronization through theoretical analysis and numerical simulation. The study has found the coupling strength can affect the electrical activity of neuron coupling system and the synchronization status between coupling neurons. Adjusting the coupling strength between the neuron systems can make two asynchronous neuron systems synchronized. The study has also found that proper noise can prompt asynchronous Hindmarsh-Rose neuron electrical synapse coupling to be synchronous and evoke electrical synapse coupling neuron synchronization.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China(No. 11362008), the National Social Science Foundation of China (No. 15CGL001), the Natural Science Fund Project of Gansu Province (No. 148RJZA047) and the Basic Scientific Research Expenses of Finance Department of Gansu Province (No.214150).

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Authors and Affiliations

  1. School of Electronic and Information Engineering, LanZhou JiaoTong University, Lanzhou, 730070, China

    Kaijun Wu, Chunli Wang & Tiaotiao Du

  2. School of Mathematics and Computer Science Institute, Northwest University for Nationalities, Lanzhou, 730030, China

    Tiejun Wang

  3. School of Mathematics and Physics, LanZhou JiaoTong University, Lanzhou, 730070, China

    Huaiwei Lu

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  1. Kaijun Wu
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  2. Tiejun Wang
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  3. Chunli Wang
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Correspondence to Kaijun Wu.

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Wu, K., Wang, T., Wang, C. et al. Study on electrical synapse coupling synchronization of Hindmarsh-Rose neurons under Gaussian white noise. Neural Comput & Applic 30, 551–561 (2018). https://doi.org/10.1007/s00521-016-2681-1

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  • DOI: https://doi.org/10.1007/s00521-016-2681-1

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