https://doi.org/10.1140/epjp/s13360-022-03423-x
Regular Article
Logical stochastic and vibrational resonances induced by periodic force in the FitzHugh–Nagumo neuron
1
Department of Physics, College of Science, Huazhong Agricultural University, 430070, Wuhan, China
2
Department of Physics, Lanzhou University of Technology, 730050, Lanzhou, China
Received:
28
June
2022
Accepted:
21
October
2022
Published online:
3
November
2022
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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