Skip to main content
SpringerLink
Log in

Numerical study of laser synapse connecting Hindmarsh–Rose neurons

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

We study numerically the dynamics of a system composed of two artificial neurons connected via an erbium-doped fiber laser. In our system, the laser acts as an optical synapse whose dynamics is controlled with a signal generated by a presynaptic Hindmarsh–Rose neuron, while the laser output drives a postsynaptic Hindmarsh–Rose neuron. Depending on the laser parameter, the postsynaptic neuron can be turned to different dynamical regimes including silence, tonic spikes, bursts with different number of spikes, and chaos.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. W. Gerstner, W.M. Kistler, R. Naud, L. Paninski, Neuronal Dynamics: From Single Neurons to Networks and Models of Cognition (Cambridge University Press, Cambridge, 2014)

    Book  Google Scholar 

  2. D.O. Hebb, The Organization of Behavior: A Neuropsychological Theory (Psychology Press, Hove, 2005)

    Book  Google Scholar 

  3. K.W. Horch, G.S. Dhillon, Neuroprosthetics: Theory and Practice (World Scientific, Singapore, 2004)

    Book  Google Scholar 

  4. M.A.L. Nicolelis, Nat. Rev. Neurosci. 4, 417–422 (2003)

    Article  Google Scholar 

  5. M.A.L. Nicolelis, M.A. Lebedev, Nat. Rev. Neurosci. 10, 530–540 (2009)

    Article  Google Scholar 

  6. M. Lebedev, I. Opris, Brain-Machine Interfaces: From Macro-to Microcircuits (Springer, New York, 2015), pp. 407–428

    Google Scholar 

  7. J.L. Collinger, B. Wodlinger, J.E. Downey, W. Wang, E.C. Tyler-Kabara, D.J. Weber, A.J.C. McMorland, M. Velliste, M.L. Boninger, A.B. Schwartz, Lancet 381, 557–564 (2013)

    Article  Google Scholar 

  8. G.J. Chader, J. Weiland, M.S. Humayun, Prog. Brain Res. 175, 317–332 (2009)

    Article  Google Scholar 

  9. B.S. Wilson, M.F. Dorman, Hearing Res. 242, 3–21 (2008)

    Article  Google Scholar 

  10. C. Mead, M. Ismail, Analog VLSI Implementation of Neural Systems (Springer Science & Business Media, New York, 2012)

  11. G. Indiveri, B. Linares-Barranco, T.J. Hamilton, A. Van Schaik, R. Etienne-Cummings, T. Delbruck, S.-C. Liu, P. Dudek, P. Häfliger, S. Renaud et al., Front. Neurosci. 5, 73 (2011)

    Google Scholar 

  12. A.E. Hramov, V.A. Maksimenko, A.N. Pisarchik, Phys. Rep. 918, 1–133 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  13. A.L. Hodgkin, A.F. Huxley, J. Physiol. 4, 500 (1952)

    Article  Google Scholar 

  14. J. Romo-Aldana, J.H. García-López, R. Jaimes-Reátegui, G. Huerta-Cuéllar, R. Chiu, C.E. Rivera-Orozco, A.N. Pisarchik, Advances on Nonlinear Dynamics of Electronic Systems (World Scientific, Singapore, 2019), pp. 30–35

    Google Scholar 

  15. G. Le Masson, S. Le Masson, M. Moulins, Prog. Biophys. Mol. Biol. 64, 201–220 (1995)

    Article  Google Scholar 

  16. A. Scott, Neuroscience: A Mathematical Primer (Springer Science & Business Media, New York, 2002)

    MATH  Google Scholar 

  17. J. Misra, I. Saha, Neurocomputing 74, 239–255 (2010)

    Article  Google Scholar 

  18. C. Bartolozzi, G. Indiveri, Neural Comput. 19, 2581–2603 (2007)

    Article  Google Scholar 

  19. A. Adamatzky, L. Chua, Memristor Networks (Springer Science & Business Media, New York, 2013)

    MATH  Google Scholar 

  20. S.A. Gerasimova, G.V. Gelikonov, A.N. Pisarchik, V.B. Kazantsev, J. Commun. Technol. 60, 900–903 (2015)

    Google Scholar 

  21. M.A. Mishchenko, S.A. Gerasimova, A.V. Lebedeva, L.S. Lepekhina, A.N. Pisarchik, V.B. Kazantsev, PLoS One 13, e0198396 (2018)

    Article  Google Scholar 

  22. S.A. Gerasimova, A.N. Mikhaylov, A.I. Belov, D.S. Korolev, O.N. Gorshkov, V.B. Kazantsev, Tech. Phys. 62, 1259–1265 (2017)

    Article  Google Scholar 

  23. S.A. Gerasimova, A.V. Lebedeva, A. Fedulina, M. Koryazhkina, A.I. Belov, M.A. Mishchenko, M. Matveeva, D. Guseinov, A.N. Mikhaylov, V.B. Kazantsev, A.N. Pisarchik, Chaos Soliton Fractals 146, 110804 (2021)

    Article  Google Scholar 

  24. S.A. Gerasimova, A. Belov, D. Korolev, D. Guseinov, A.V. Lebedeva, M. Koryazhkina, A.N. Mikhaylov, V.B. Kazantsev, A.N. Pisarchik, arXiv:2103.00592 [physics.bio-ph] (2021)

  25. A.N. Pisarchik, R. Jaimes-Reátegui, R. Sevilla-Escoboza, J.H. García-Lopez, V.B. Kazantsev, Opt. Lasers Eng. 49, 736–742 (2011)

    Article  Google Scholar 

  26. A.N. Pisarchik, R. Sevilla-Escoboza, R. Jaimes-Reátegui, G. Huerta-Cuellar, J.H. García-Lopez, V.B. Kazantsev, Sensors 13, 17322–17331 (2013)

    Article  ADS  Google Scholar 

  27. R.J. Reategui, A.V. Kir’yanov, A.N. Pisarchik, Yu.O. Barmenkov, N.N. Il’ichev, Laser Phys. 14, 1277–1281 (2004)

    Google Scholar 

  28. A.N. Pisarchik, A.V. Kir’yanov, Yu.O. Barmenkov, R. Jaimes-Reátegui, J. Opt. Soc. Am. B 22, 2107–2114 (2005)

    Article  ADS  Google Scholar 

  29. A.N. Pisarchik, R. Jaimes-Reátegui, R. Sevilla-Escoboza, G. Huerta-Cuellar, M. Taki, Phys. Rev. Lett. 107, 274101 (2011)

    Article  ADS  Google Scholar 

  30. A. Wolf, J.B. Swift, H.L. Swinney, J.A. Vastano, Phys. D 16, 285–317 (1985)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

A.N.P. acknowledges support from the Russian Science Foundation (Grant no. 19-12-00050).

Author information

Authors and Affiliations

  1. Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno, Jalisco, Mexico

    R. Jaimes-Reátegui, J. M. Reyes-Estolano, J. H. García-López, G. Huerta-Cuellar & C. E. Rivera-Orozco

  2. Center for Biomedical Technology, Universidad Politécnica de Madrid, Campus Montegancedo, 28223, Pozuelo de Alarcón, Madrid, Spain

    A. N. Pisarchik

  3. Innopolis University, Universitetskaya Str. 1, 420500, Innopolis, Russia

    A. N. Pisarchik

Authors
  1. R. Jaimes-Reátegui
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. M. Reyes-Estolano
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. H. García-López
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. G. Huerta-Cuellar
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. C. E. Rivera-Orozco
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. A. N. Pisarchik
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. Jaimes-Reátegui.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jaimes-Reátegui, R., Reyes-Estolano, J.M., García-López, J.H. et al. Numerical study of laser synapse connecting Hindmarsh–Rose neurons. Eur. Phys. J. Spec. Top. 231, 341–350 (2022). https://doi.org/10.1140/epjs/s11734-021-00357-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjs/s11734-021-00357-w

Search

Navigation