https://doi.org/10.1140/epjp/s13360-025-06683-5
Regular Article
Nonlinear resonance and circuit implement of a neuron driven by memristive current
1
Department of Physics, Lanzhou University of Technology, 730050, Lanzhou, China
2
Department of Mathematics, North University of China, 030051, Taiyuan, China
3
School of Automation and Electrical Engineering, Lanzhou University of Technology, 730050, Lanzhou, China
a hyperchaos@163.com, hyperchaos@lut.edu.cn
Received:
31
May
2025
Accepted:
21
July
2025
Published online:
28
July
2025
Biological neurons can perceive external stimuli within finite frequency band while the achieved works used to apply single signal or combined periodic signals for exploring the dynamical responses and information encoding even in presence of noisy disturbance. In this paper, a charge-controlled memristor is used to connect a voltage source for generating finite band stimuli, which affects the energy level and firing patterns in the neural circuit and its derived theoretical model. Noisy excitation is applied to induce nonlinear resonance by taming the noise intensity carefully. The emergence of coherence and stochastic resonance phenomena are characterized by analyzing the coefficient of variability and the average of Hamilton energy under varying noise intensities. Exact and available energy function provides an effective estimation on the dependence of firing modes on energy levels. Finally, an analog equivalent circuit for the theoretical model is designed to confirm the circuit implement and control.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and 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.
