JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (1): 43-51.doi: 10.6040/j.issn.1671-9352.0.2020.466

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Firing bifurcation characteristics and synchronization of Chay neuron under electromagnetic induction

GAO Yue-yue1, LI Xin-ying2*, LI Ning1   

  1. 1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China;
    2. School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2021-01-05

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Abstract: According to Faraday law of electromagnetic induction, charged ions inside and outside the cell through the cell membrane to produce an electromagnetic induction effect, and a four-dimensional Chay neuron model is established by introducing magnetic flux on the basis of the Chay neuron model. Firstly, the equilibrium point and stability of the system are studied by Matcont simulation, and it is found that the system undergoes saddle-node bifurcation, supercritical Hopf bifurcation and subcritical Hopf bifurcation as the parameters change; secondly, the firing mode of the neuronal system is investigated by numerical simulation; finally, the coupled neurons and global connections are analyzed by electrical synaptic coupling, using statistics such as correlation coefficient and synchronization parameter. The synchronization problem of neuronal networks is further explored by the influence of multiple parameters on the synchronization process of neurons.

Key words: equilibrium point analysis, complete synchronization, correlation coefficient, synchronization parameter, two-parameter analysis

CLC Number: 

  • O193
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