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Dynamics of neuron-like excitable Josephson junctions coupled by a metal oxide memristive synapse

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Abstract

Transition of firing modes via synapse is a crucial step in neural coding. The neuron/synapse-like circuits have been proposed to simulate neural behaviors and functions. Despite a few researches of the mimicking neuron inspired on Josephson junction, the dynamical explanation of neuron-like junction is still unclear. We explore the dynamics in the Josephson junction composed of capacitor, nonlinear resistor and supercurrent component. The biophysical mechanism of neuron-like excitability in the junction is further interpreted by using frequency-current curve and two-parameter bifurcation plane. We propose the coupled model with memristive synaptic connection between two junctions to replace the synaptic coupling and neurons bridged for information exchange. It is found that the multiple modes are induced and controlled by the memristive synapse with plasticity. Meanwhile, the firing states of the two junctions with memristive synapse become synchronized under the suitable choices of parameters. These could help in the development of brain-like system with the Josephson junctions and memristive devices.

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Data availability

The data used to support the findings of this study are available from the corresponding author upon request.

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Funding

This project is partially supported by National Natural Science Foundation of China under Grant No. 12072139.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China

    Fuqiang Wu

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

    Fuqiang Wu & Zhao Yao

  3. School of Physics and Electronics, Central South University, Changsha, 410083, China

    Zhao Yao

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  1. Fuqiang Wu
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Wu, F., Yao, Z. Dynamics of neuron-like excitable Josephson junctions coupled by a metal oxide memristive synapse. Nonlinear Dyn 111, 13481–13497 (2023). https://doi.org/10.1007/s11071-023-08524-5

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