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Phase synchronization between two thermo-photoelectric neurons coupled through a Josephson Junction

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  • Jules Tagne Fossi

    (University of Yaoundé I
    Centre d’Excellence Africain des Technologies de l’Information et de la Communication (CETIC) Université de Yaoundé I)

  • Vandi Deli

    (University of Douala)

  • Hélène Carole Edima

    (University of Ngaoundéré)

  • Zeric Tabekoueng Njitacke

    (University of Buea
    Lodz University of Technology)

  • Florent Feudjio Kemwoue

    (University of Yaoundé I
    Centre d’Excellence Africain des Technologies de l’Information et de la Communication (CETIC) Université de Yaoundé I)

  • Jacques Atangana

    (University of Yaoundé I)

Abstract

The transmission and encoding of information in the brain has been the subject of much research. The aim is to improve biophysical functions and to design reliable artificial synapses for the connection of several biological neurons. In this manuscript, it is coupled through a hybrid synapse two FitzHugh–Nagumo neural circuits driven simultaneously by a phototube and a thermistor. The hybrid synapse is based on an ideal Josephson Junction in parallel with a linear resistance. This configuration allows the evaluation of the external magnetic field in the neural circuit. Using the standard scale transformation on the physical variables and parameters, we obtain the mathematical model of the coupled neurons. A bifurcation analysis on the intrinsic parameters of the coupling channel is carried out to demonstrate the complete synchronization and phase synchronization. It can be seen a synchronization stability when the parameters of the coupling channel are well defined. To practically confirm these results, an electronic circuit is designed using discrete electronic components and multipliers. Thanks to the simulations in the PSpice software, we see that this circuit can well and well be used to estimate the effect of the external magnetic field on a coupled neural circuit and predict a stable synchronization. Graphical abstract

Suggested Citation

  • Jules Tagne Fossi & Vandi Deli & Hélène Carole Edima & Zeric Tabekoueng Njitacke & Florent Feudjio Kemwoue & Jacques Atangana, 2022. "Phase synchronization between two thermo-photoelectric neurons coupled through a Josephson Junction," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(4), pages 1-17, April.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:4:d:10.1140_epjb_s10051-022-00324-x
    DOI: 10.1140/epjb/s10051-022-00324-x
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    References listed on IDEAS

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    1. Mostaghimi, Soudeh & Nazarimehr, Fahimeh & Jafari, Sajad & Ma, Jun, 2019. "Chemical and electrical synapse-modulated dynamical properties of coupled neurons under magnetic flow," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 42-56.
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    1. Fossi, Jules Tagne & Njitacke, Zeric Tabekoueng & Tankeu, William Nguimeya & Mendimi, Joseph Marie & Awrejcewicz, Jan & Atangana, Jacques, 2023. "Phase synchronization and coexisting attractors in a model of three different neurons coupled via hybrid synapses," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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