https://doi.org/10.1140/epjs/s11734-025-01726-5
Regular Article
Dynamical analysis and FPGA hardware verification of a FitzHugh–Nagumo circuit based on meminductor
School of Automation and Electronic Information, Xiangtan University, 41110, Xiangtan, China
Received:
1
April
2025
Accepted:
2
June
2025
Published online:
19
June
2025
The nonlinear circuit elements, such as memristors and meminductors, have demonstrated significant potential for chaotic signal generation and biologically plausible neuron modeling. This study presents a meminductor-based FitzHugh–Nagumo (FHN) neuronal circuit and systematically examines its complex firing dynamics. Our investigations reveal that varying the external stimulus parameters (frequency and amplitude) and the meminductor’s initial state produces diverse firing patterns, including chaotic firing, periodic spiking, bursting and co-existing firing patterns, Moreover, the neuron can exhibit neuromorphic behaviors such as tonic spiking, rebound spikes, bistability, threshold variability, and depolarizing after-potentials. To validate the theoretical findings, a digital electronic circuit is implemented using a field-programmable gate array, with experimental results confirming the numerical simulations. This study not only extends the FHN circuit family by incorporating meminductor elements, but also provides new insights into the dynamic behavior of neuromorphic circuits, with promising applications in brain-inspired computing systems.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
