Neurodynamics in simple cyclic Hopfield neural network under external electromagnetic radiation and stimulating current inputs

Qiang Lai*, Minghong Qin, Guanrong Chen

*Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

External stimuli can influence the electrical activities of neurons, inducing complex and diverse neurodynamic behaviors through coordination and interaction among neurons. This article investigates the neurodynamics of a simple cyclic Hopfield neural network (SCHNN) with unidirectional connections and no autapse, under external electromagnetic radiation and stimulating current inputs. Numerical analyses show that, when SCHNN is exposed only to electromagnetic radiation, it has eight unstable equilibria and can produce homogeneous/heterogeneous multistability, amplitude control and different types of firing patterns, e.g., periodic/chaotic spiking and bursting firing. When SCHNN is affected jointly by electromagnetic radiation and stimulating current inputs, it exhibits diverse types of firing multistability, such as resting and periodic spiking as well as chaotic and periodic spiking. Interestingly, neurons in SCHNN also exhibit controllable frequency bursting firing behavior with varying electromagnetic radiation parameters in huge scales. Finally, a digital hardware implementation platform is designed and physically realized to reproduce the neurodynamics observed from numerical simulations. © 2025 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Original languageEnglish
Article number116663
JournalChaos, Solitons and Fractals
Volume199
Issue numberPart 1
Online published13 Jun 2025
DOIs
Publication statusPublished - Oct 2025

Funding

This work was supported by the National Natural Science Foundation of China under Grant 62366014, and the Jiangxi Provincial Natural Science Foundation under Grant 20232BAB202008.

Research Keywords

  • Chaos
  • Neurodynamics
  • Hopfield neural network
  • Electromagnetic radiation
  • Hardware implementation

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