https://doi.org/10.1140/epjs/s11734-025-01727-4
Regular Article
Hidden electrical activities in a memcapacitor-based FitzHugh–Nagumo circuit
School of Automation and Electronic Information, Xiangtan University, 41110, Xiangtan, China
Received:
12
April
2025
Accepted:
2
June
2025
Published online:
16
June
2025
In this paper, a novel FitzHugh–Nagumo neuron circuit based on memcapacitor is proposed, and its dynamic characteristics are systematically studied. By substituting the conventional capacitor in the original FHN circuit with a charge-controlled memcapacitor, the resulting memcapacitor-based neuron circuit exhibits memory effect and nonlinear characteristics, thereby exhibiting more complex and diverse dynamic behaviors. First, the effects of the frequency and amplitude of external stimuli on the neuron’s dynamic characteristics are studied. It is found that the system transitions from chaotic firing to periodic firing and finally to multi-periodic regimes under different stimulus conditions. Additionally, the initial value-dependent dynamics are also analyzed, revealing that high initial values particularly predispose the system to quasi-periodic or chaotic behaviors. Furthermore, the neuromorphic behaviors of the neuron are discussed, identifying characteristic neural phenomena, such as tonic spiking, subthreshold oscillations, and inhibition-induced bursting and bistability. To verify the reliability and practical feasibility of the neuron model, the memcapacitor-based FHN circuit is implemented using Multisim simulation software. The circuit simulation results are in good agreement with the numerical simulation results. This study not only deepens the understanding of the dynamics of the memcapacitor-based neuron but also demonstrates its potential for neuromorphic engineering applications.
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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.
