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Phase coupling synchronization of FHN neurons connected by a Josephson junction

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Abstract

A variety of nonlinear circuits can be tamed to reproduce the main dynamical properties in neural activities for biological neurons while designing reliable artificial synapses for connecting these neural circuits becomes a challenge. In this paper, a Josephson junction is used to build coupling channel for connecting two FitzHugh-Nagumo neural circuits driven by periodical voltage source. The hybrid synapse is designed by using a linear resistor paralleled with a Josephson junction, which can estimate the effect of external magnetic field by generating additive phase error between the junction. Indeed, it activates nonlinear coupling due to phase diversity in the Josephson junction. The coupled circuits are estimated in dimensionless dynamical systems by applying scale transformation on the variables and parameters in neural circuits. In fact, the intrinsic parameters of coupling channel are adjusted to detect the occurrence of synchronization. Bifurcation analysis is calculated to predict and confirm the occurrence of synchronization between two neural circuits. It is found that synchronization can be stabilized between two FHN neural circuits by selecting appropriate values for parameters in the Josephson junction involved in the coupling channel. It gives useful guidance for implementing artificial synapse for signal processing in neural circuits.

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Authors and Affiliations

  1. Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China

    Yin Zhang, ChunNi Wang, Jun Ma & GuoDong Ren

  2. School of Physics, China University of Mining and Technology, Xuzhou, 221116, China

    Jun Tang

  3. School of Science, Chongqing University of Posts and Telecommunications, Chongqing, 430065, China

    Jun Ma

Authors
  1. Yin Zhang
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  2. ChunNi Wang
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  3. Jun Tang
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  4. Jun Ma
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  5. GuoDong Ren
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Corresponding author

Correspondence to Jun Ma.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 11765011), and the HongLiu First-Class Disciplines Development Program of Lanzhou University of Technology.

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Zhang, Y., Wang, C., Tang, J. et al. Phase coupling synchronization of FHN neurons connected by a Josephson junction. Sci. China Technol. Sci. 63, 2328–2338 (2020). https://doi.org/10.1007/s11431-019-1547-5

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  • DOI: https://doi.org/10.1007/s11431-019-1547-5

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