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Complex regimes in electronic neuron-like oscillators with sigmoid coupling

Author

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  • Egorov, Nikita M.
  • Sysoev, Ilya V.
  • Ponomarenko, Vladimir I.
  • Sysoeva, Marina V.

Abstract

The new version of electronic implementation of FitzHugh–Nagumo neuron model was proposed together with a new circuit for synapse (sigmoid activation function). The proposed neuron and synapse models provide better representation of activation function in biological neurons including possibility to model excitatory and inhibitory connections. Various regimes in two FitzHugh–Nagumo neurons were studied numerically and in hardware experiment. Different scenarios of oscillation emergence were investigated, including saddle-node cycle bifurcation leading to appearance of highly nonlinear limit cycles of large amplitude. Long living transients near these bifurcations were found those are of particular interest for modeling some metastable phenomena in living systems like sleep and epilepsy.

Suggested Citation

  • Egorov, Nikita M. & Sysoev, Ilya V. & Ponomarenko, Vladimir I. & Sysoeva, Marina V., 2022. "Complex regimes in electronic neuron-like oscillators with sigmoid coupling," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922003812
    DOI: 10.1016/j.chaos.2022.112171
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    References listed on IDEAS

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    1. Anderson Hoff & Juliana Santos & Cesar Manchein & Holokx Albuquerque, 2014. "Numerical bifurcation analysis of two coupled FitzHugh-Nagumo oscillators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(7), pages 1-9, July.
    2. Plotnikov, Sergei A. & Fradkov, Alexander L., 2019. "On synchronization in heterogeneous FitzHugh–Nagumo networks," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 85-91.
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    Cited by:

    1. Chen, Chengjie & Min, Fuhong & Zhang, Yunzhen & Bao, Han, 2023. "ReLU-type Hopfield neural network with analog hardware implementation," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Njitacke, Zeric Tabekoueng & Ramadoss, Janarthanan & Takembo, Clovis Ntahkie & Rajagopal, Karthikeyan & Awrejcewicz, Jan, 2023. "An enhanced FitzHugh–Nagumo neuron circuit, microcontroller-based hardware implementation: Light illumination and magnetic field effects on information patterns," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    3. Lin, Yi & Liu, Wenbo & Hang, Cheng, 2023. "Revelation and experimental verification of quasi-periodic bursting, periodic bursting, periodic oscillation in third-order non-autonomous memristive FitzHugh-Nagumo neuron circuit," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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