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Periodic and quasi-periodic dynamics of neuronal oscillators based on an inorganic memristive device

Author

Listed:
  • Kipelkin, Ivan M.
  • Gerasimova, Svetlana A.
  • Guseinov, Davud V.
  • Belov, Alexey I.
  • Tyukin, Ivan Y.
  • Mikhaylov, Alexey N.
  • Kazantsev, Victor B.

Abstract

This paper presents a mathematical model and hardware implementation of synaptically coupled neurons, realized by two modified FitzHugh–Nagumo oscillators interconnected via an inorganic memristive device. Our study focuses on the adaptive characteristics of the memristive device as a function of the driving signal parameters, thereby capturing key features of synaptic plasticity observed in biological systems. We provide experimental measurements of the average relative change in memristive resistance, which serves as the effective coupling coefficient in our mathematical model. Furthermore, we identify the optimal duty cycle of the master oscillator and demonstrate its direct impact on both the coupling strength and the oscillation amplitude. Through a combination of computational modeling and experimental validation, we reveal synchronization regimes at the natural frequency, as well as at harmonic and subharmonic frequencies. The corresponding phase-space structures of the coupled system are analyzed in detail, providing insight into the underlying dynamical mechanisms governing memristive synaptic interaction.

Suggested Citation

  • Kipelkin, Ivan M. & Gerasimova, Svetlana A. & Guseinov, Davud V. & Belov, Alexey I. & Tyukin, Ivan Y. & Mikhaylov, Alexey N. & Kazantsev, Victor B., 2026. "Periodic and quasi-periodic dynamics of neuronal oscillators based on an inorganic memristive device," Chaos, Solitons & Fractals, Elsevier, vol. 208(P3).
  • Handle: RePEc:eee:chsofr:v:208:y:2026:i:p3:s0960077926004455
    DOI: 10.1016/j.chaos.2026.118304
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