https://doi.org/10.1140/epjs/s11734-025-01735-4
Regular Article
Effects of time delay on stochastic resonance induced by sine-Wiener bounded noises in an improved Hindmarsh–Rose neuron model under electromagnetic induction
1
College of Physics and Optoelectronics Technology, Baoji University of Arts and Sciences, 721016, Baoji, Shaanxi, China
2
Key Laboratory of Manufacturing and Assessment Technology for Industrial Robot and Its Major Component, Baoji University of Arts and Sciences, 721016, Baoji, Shaanxi, China
Received:
22
March
2025
Accepted:
3
June
2025
Published online:
16
June
2025
A modified four-variable Hindmarsh–Rose (HR) neuronal model incorporating electromagnetic induction effects is proposed by integrating sine-Wiener bounded noise and time delay. Through systematic numerical simulations, this study examines the synergistic effects of bounded noise and temporal delay on stochastic resonance (SR) characteristics in neuronal electrical activity. The spectral response patterns were quantitatively analyzed using Fourier coefficient, revealing three distinct resonance configurations: single-peak, double-peak, and triple-peak profiles, which serve as characteristic signatures of SR phenomena. Notably, numerical results demonstrate that temporal delay and noise correlation time can induce multi-stochastic resonance behavior, while noise intensity variation maintains monostable resonance characteristics. Parameter optimization analysis indicates that appropriate selection of temporal delay and noise parameters enables precise frequency-matching between endogenous neuronal oscillations and external forcing currents, accompanied by enhanced phase synchronization between input signals and output responses. These findings provide theoretical foundations for neuromorphic engineering applications requiring adaptive signal detection in noisy biological environments.
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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.
