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Firing patterns and fast–slow dynamics in an N-type LAM-based FitzHugh–Nagumo circuit

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  • Xu, Quan
  • Fang, Yujian
  • Wu, Huagan
  • Bao, Han
  • Wang, Ning

Abstract

The diversity of firing patterns and their bifurcation mechanisms of a neuron circuit are crucial for exploiting bionic applications. This paper constructs an N-type locally active memristor (LAM)-based FitzHugh–Nagumo (FHN) circuit by replacing the tunnel-diode in the original FHN circuit. Numerical simulations and hardware measurements reveal that the N-type LAM-based FHN circuit can reproduce rich neuromorphic firing patterns of quasi-periodic/periodic bursting behaviors and chaotic/periodic spiking behaviors. The bursting and spiking behaviors are triggered by a low-frequency stimulus and a high-frequency one, respectively. Besides, the fold and Hopf bifurcation sets are depicted. Then, the bifurcation mechanisms for the quasi-periodic and periodic bursting behaviors via Hopf/Hopf and Hopf/fold bifurcations are theoretically deduced by time-domain waveform and equilibrium trajectory. The numerical results and hardware experiments exhibit the effectiveness of the proposed memristive FHN circuit in reproducing abundant firing patterns of bursting and spiking behaviors.

Suggested Citation

  • Xu, Quan & Fang, Yujian & Wu, Huagan & Bao, Han & Wang, Ning, 2024. "Firing patterns and fast–slow dynamics in an N-type LAM-based FitzHugh–Nagumo circuit," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009287
    DOI: 10.1016/j.chaos.2024.115376
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