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

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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.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All the information’s were given in the paper to generate the results in the paper; there is no need of the deposited data.]

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Acknowledgements

Jules Fossi Tagne thanks the Faculty of Sciences of the University of Ngaoundéré for its important contribution. Zeric Tabekoueng Njitacke has been supported by the Polish National Science Centre under the Grant OPUS 14 No.2017/27/B/ST8/01330.

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Author notes

  1. Vandi Deli, Hélène Carole Edima, Zeric Tabekoueng Njitacke, Florent Feudjio Kemwoue and Jacques Atangana contributed equally to this work.

Authors and Affiliations

  1. Laboratory of Energy-Electric and Electronic Systems, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon

    Jules Tagne Fossi & Florent Feudjio Kemwoue

  2. Department of Pharmaceutical Sciences, Faculty of Medicine and Pharmaceutical Sciences, University of Douala, Douala, Cameroon

    Vandi Deli

  3. National School of Agro-Industrial Sciences, Food Microbiology and Biotechnology Laboratory, University of Ngaoundéré, Ngaoundéré, Cameroon

    Hélène Carole Edima

  4. Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O.Box 63, Buea, Cameroon

    Zeric Tabekoueng Njitacke

  5. Department of Physics, Higher Teacher Training College Yaoundé, University of Yaoundé I, Yaoundé, Cameroon

    Jacques Atangana

  6. Centre d’Excellence Africain des Technologies de l’Information et de la Communication (CETIC) Université de Yaoundé I, Yaoundé, Cameroon

    Jules Tagne Fossi & Florent Feudjio Kemwoue

  7. Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland

    Zeric Tabekoueng Njitacke

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  1. Jules Tagne Fossi
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  2. Vandi Deli
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All the authors have contributed equitably in the production and interpretation of the results and then in the writing of this manuscript.

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Correspondence to Jules Tagne Fossi or Jacques Atangana.

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Fossi, J.T., Deli, V., Edima, H.C. et al. Phase synchronization between two thermo-photoelectric neurons coupled through a Josephson Junction. Eur. Phys. J. B 95, 66 (2022). https://doi.org/10.1140/epjb/s10051-022-00324-x

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