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Logical stochastic and vibrational resonances induced by periodic force in the FitzHugh–Nagumo neuron

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Abstract

It was demonstrated that a bistable system driven by periodic force can be consistently regarded as a reliable logic gate when the amplitude and frequency of periodic driving force are both in their appropriate ranges. This phenomenon is called noise-free logical stochastic resonance (LSR). Here, the conventional bistable system is extended to an excitable FitzHugh–Nagumo (FHN) neuron model subjected to single or two periodic forces. We have confirmed that periodic force can induce single or multiple LSRs in the FHN neuron model. Interestingly, the forced FHN neuron can optimize simultaneously the reliability of logic operation and energy dissipation. When periodic force is subthreshold, that is, it cannot evoke spikes, the second periodic force can be added into the system to obtain logical vibrational resonance (LVR). In particular, multiple LVRs can also be obtained by altering the frequency of the second periodic force. The results obtained here may have implications in understanding the constructive roles of periodic force in neuro-inspired systems and would be conducive to the development of future computational devices.

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Data Availability Statement

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request. This manuscript has associated data in a data repository. [Authors’ comment: All necessary data request can send message to the corresponding author via e-mail.].

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Authors and Affiliations

  1. Department of Physics, College of Science, Huazhong Agricultural University, Wuhan, 430070, China

    Yuangen Yao

  2. Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China

    Jun Ma

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  1. Yuangen Yao
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YY contributed to conceptualization, methodology, software, data curation, formal analysis, and writing—original draft. JM performed supervision and writing—review and editing.

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Correspondence to Yuangen Yao.

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Yao, Y., Ma, J. Logical stochastic and vibrational resonances induced by periodic force in the FitzHugh–Nagumo neuron. Eur. Phys. J. Plus 137, 1214 (2022). https://doi.org/10.1140/epjp/s13360-022-03423-x

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