https://doi.org/10.1140/epjs/s11734-025-01665-1
Regular Article
Analysis and application of discrete 3D no equilibrium points memristive Hindmarsh-Rose models
College of Physics and Electronic Engineering, Northwest Normal University, Peili Street, 730070, Lanzhou, Gansu, China
Received:
19
March
2025
Accepted:
25
April
2025
Published online:
8
May
2025
In this paper, a discrete memristive Hindmarsh-Rose (HR) neuron model is constructed, its dynamics are explored and digital circuit simulations are performed, and then the model is applied to image encryption. The chaotic behaviors of the neural network model is analyzed using phase and time series diagrams, bifurcation diagrams, and Lyapunov exponent spectrum. Dynamical analysis of the neuron model shows that the neurons are no equilibrium point and have multiple firing behaviors and extreme multistability. This is then simulated through Field Programmable Gate Arrays (FPGA) platform to demonstrate what is possible in a physical sense. Finally, discrete memristive HR neuron model is applied to image encryption. The experimental results show that the model has good encryption performance in the encryption process, which is an important contribution to the research in the field of neuroscience and confidential communication.
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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.
