https://doi.org/10.1140/epjs/s11734-025-01615-x
Regular Article
Switchable memristive HR neurons with hidden firing patterns and offset boosting dynamics
School of Optoelectronic Engineering, Zaozhuang University, 277160, Zaozhuang, China
Received:
1
February
2025
Accepted:
31
March
2025
Published online:
16
April
2025
The unique properties of memristors have been extensively validated for their capability to emulate synaptic connections in neurons and interactions with external electromagnetic stimuli. In this work, a novel class of magnetically controlled memristors is introduced and seamlessly integrated into the Hindmarsh–Rose (HR) neuron model. The analysis reveals that the proposed system inherently lacks equilibrium points and demonstrates a rich spectrum of hidden spiking dynamics, including spiking, bursting, and multistable behaviors. The memristor-induced offset boosting mechanisms are systematically explored, highlighting how initial-condition-driven offset boosting gives rise to extreme multistability. Furthermore, parameter-induced offset boosting is observed, with attractors exhibiting identical geometric structures while residing at distinct locations in the phase space. The influence of memristors on the modulation of neuronal firing patterns is emphasized, showing their ability to replicate diverse and biologically significant neural activities. The theoretical findings are corroborated through circuit-based simulations, providing robust experimental validation and demonstrating the practicality of the proposed system for hardware implementation. Finally, the Pseudo-Random Number Generator (PRNG) results are conducted to explore its randomness performance.
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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.
