Scroll-Growth and Scroll-Control Attractors in Memristive Bi-Neuron Hopfield Neural Network

Fangyuan Li, Lianfa Bai, Zhuguan Chen, Bocheng Bao

Published: 2024, Last Modified: 28 Feb 2026IEEE Trans. Circuits Syst. II Express Briefs 2024EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Electromagnetic induction (EMI) is an external interference in electrophysiological environment, which can be characterized by a flux-controlled memristor. By replacing external stimulation with EMI current, this brief presents a 3D memristive bi-neuron Hopfield neural network (MBN-HNN). MBN-HNN has a line equilibrium set and produces multi-scroll chaotic attractors with scroll-growth over time. Further, a scroll- control method is proposed by nesting a saturation function into MBN-HNN and multi-scroll chaotic attractors with controllable scrolls are displayed. Besides, STM32 hardware experiments confirm numerical simulations.
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