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Neuronal circuit based on Josephson junction actuated by a photocurrent: dynamical analysis and microcontroller implementation

  • Regular Article - Statistical and Nonlinear Physics
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Abstract

A circuit made of a phototube in series with a linear resistor connected in parallel to a resistor–capacitor shunted Josephson junction (JJ) is proposed to describe a neuron sensitive to external illuminations. The neuronal circuit based on JJ actuated by a photocurrent is analytically, numerically and experimentally investigated in this paper. The stability of the equilibrium points obtained from the rate equations describing the neuronal circuit based on JJ actuated by a photocurrent is studied. The hysteresis loop widths of current–voltage curves increase with the increase of the damping parameter due to the linear resistor in series with phototube for a constant phototube voltage. Whereas the hysteresis loop of current–voltage curves shifts on the left with the increase of constant phototube voltage. Periodic spiking oscillations, periodic bursting oscillations, continuous spiking oscillations, chaotic spiking oscillations, and chaotic oscillations are found during the numerical analysis by varying the damping parameter due to the linear resistor in series with the phototube and modulation parameters of a sinusoidal voltage of phototube. Finally, the numerical analysis results are confirmed by the microcontroller implementation of a neuronal circuit based on JJ neuron actuated by a photocurrent.

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Data availability statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: We have no associated data.]

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Acknowledgements

This work is partially funded by the Center for Nonlinear Systems, Chennai Institute of Technology, India via funding number CIT/CNS/2021/RD/064.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon

    Noel Freddy Fotie Foka

  2. Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, 600069, Tamil Nadu, India

    Balamurali Ramakrishnan

  3. School of Geology and Mining Engineering, University of Ngaoundere, P.O. Box: 115, Meiganga, Cameroon

    André Cheage Chamgoué

  4. Department of Mechanical, Petroleum and Gas Engineering, National Advanced School of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon

    Alain Francis Talla

  5. National Advanced School of Engineering, University of Yaoundé I, P.O. Box 8390, Yaoundé, Cameroon

    Victor Kamgang Kuetche

Authors
  1. Noel Freddy Fotie Foka
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  2. Balamurali Ramakrishnan
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  3. André Cheage Chamgoué
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  4. Alain Francis Talla
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  5. Victor Kamgang Kuetche
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Contributions

NFFF and BR developed the system under study and theoretically analyzed its rate equations. ACC and STK did the microcontroller implementation of the system under study. AFT and VKK participated in the data analysis at different stages. All authors contributed to the interpretation of the results and writing of the manuscript.

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Correspondence to Alain Francis Talla.

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Foka, N.F.F., Ramakrishnan, B., Chamgoué, A.C. et al. Neuronal circuit based on Josephson junction actuated by a photocurrent: dynamical analysis and microcontroller implementation. Eur. Phys. J. B 95, 91 (2022). https://doi.org/10.1140/epjb/s10051-022-00343-8

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  • DOI: https://doi.org/10.1140/epjb/s10051-022-00343-8

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