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Synchronization and chimeras in a network of photosensitive FitzHugh–Nagumo neurons

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Abstract

Recently, a photosensitive model has been proposed that takes into account nonlinear encoding and responses of photosensitive neurons that are subject to optical signals. In the model, a photocell term has been added to the well-known FitzHugh–Nagumo neuron, which results in a time-varying voltage source. The modified model exhibits most of the main characteristics of biological neurons, like spiking, bursting, and chaotic responses, but is also amenable to study the effect of optical signals. In this paper, we consider a small-world network of photosensitive neurons and study their collective behavior in dependence on interaction strength. We show that the network exhibits synchronization in a specific range of coupling strengths before transcending into a chimera state. We use the master stability function, a local-order parameter, as well as recurrence plots to verify the reported results.

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Acknowledgements

Matjaž Perc was supported by the Slovenian Research Agency (Grant Nos. P1-0403 and J1-2457). S. Jafari is also partially funded by Center for Nonlinear Systems, Chennai Institute of Technology, India vide funding number CIT/CNS/2020/RD/065.

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Physics, Qatar University, 2713, Doha, Qatar

    Iqtadar Hussain

  2. Center for Computational Biology, Chennai Institute of Technology, Chennai, India

    Sajad Jafari

  3. Department of Biomedical Engineering, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran, 159163-4311, Iran

    Sajad Jafari

  4. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata, 700108, India

    Dibakar Ghosh

  5. Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, 2000, Maribor, Slovenia

    Matjaž Perc

  6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 404332, Taiwan

    Matjaž Perc

  7. Alma Mater Europaea ECM, Slovenska ulica 17, 2000, Maribor, Slovenia

    Matjaž Perc

  8. Complexity Science Hub Vienna, Josefstädterstraße 39, 1080, Vienna, Austria

    Matjaž Perc

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  1. Iqtadar Hussain
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Correspondence to Iqtadar Hussain.

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Hussain, I., Jafari, S., Ghosh, D. et al. Synchronization and chimeras in a network of photosensitive FitzHugh–Nagumo neurons. Nonlinear Dyn 104, 2711–2721 (2021). https://doi.org/10.1007/s11071-021-06427-x

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