https://doi.org/10.1140/epjs/s11734-025-01652-6
Regular Article
Complex synchronization in memristor-coupled Chialvo Neurons
1
School of Electronic and Information Engineering, Anhui Jianzhu University, 230009, Hefei, Anhui, China
2
School of Artificial Intelligence, Nanjing University of Information Science & Technology, 210044, Nanjing, Jiangsu, China
3
School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, 210044, Nanjing, Jiangsu, China
4
Department of Physics, Hong Kong Baptist University, 999077, Hong Kong, China
5
Center for Complex Systems & Brain Sciences (CEMSC3), Universidad Nacional de San Martín, Buenos Aires, Argentina
Received:
11
February
2025
Accepted:
24
April
2025
Published online:
12
May
2025
The study of neurons and their interaction mechanisms plays a critical role in advancing our understanding of brain functionality and neural network dynamics. Recent studies demonstrated that memristor-based neural networks can effectively simulate biological neural behaviors and exhibit rich dynamical properties. In this paper, we propose a tanh-type memristor-coupled Chialvo neuron model and investigate its dynamic behaviors and synchronization patterns under varying parameter conditions. We demonstrate that fine-tuning the external excitation current can effectively regulate the synchronization state between neurons, highlighting the potential of memristors in controlling neural network synchronization. Using the Hilbert transform, we construct analytic signals to extract the instantaneous phase spectra of the membrane potentials of two coupled neurons. The phase difference is calculated by subtracting the instantaneous phases, and a synchronization coefficient is introduced to quantify the degree of synchronization. Finally, the validity of our findings is confirmed through experimental implementation on a CH32 microcontroller.
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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.
