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  4. Computer Modeling of Memristive Electromagnetic Radiation Effect on a Five-Dimensional Neural Network

Computer Modeling of Memristive Electromagnetic Radiation Effect on a Five-Dimensional Neural Network

MMC.
2025;
Volume 12, Number 4
: pp. 1367–1380
Received: April 21, 2025
Revised: October 13, 2025
Accepted: October 20, 2025

Kopp M. I.  Computer Modeling of Memristive Electromagnetic Radiation Effect on a Five-Dimensional Neural Network.  Mathematical Modeling and Computing. Vol. 12, No. 4, pp. 1367–1380 (2025)

Authors:
  1. M. I. Kopp
1
Institute for Single Crystals, NAS Ukraine

This paper introduces a novel five-dimensional memristive artificial neural network (ANN) incorporating a flux-controlled memristor to model the effects of external electromagnetic radiation on neuronal dynamics.  The network is mathematically formulated as a six-dimensional nonlinear dynamical system, where the additional dimension accounts for the memristive state variable.  A comprehensive dynamical analysis is performed, including bifurcation diagrams, Lyapunov exponents, Kaplan-Yorke dimension, time-domain responses, and phase portraits, revealing complex chaotic behaviors.  The theoretical predictions are validated through electronic circuit simulations using Multisim software.  Furthermore, a synchronization model incorporating two coupled memristive subnetworks is developed to emulate interregional synchronization phenomena observed in biological neural systems.

artificial neural networks (ANNs)
memristor
chaotic behavior
circuit implementation
synchronization
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