https://doi.org/10.1140/epjp/s13360-025-06780-5
Regular Article
Synchronization and hardware validation in electrically coupled Aihara networks
School of Electrical and Automation Engineering, Nanjing Normal University, 210023, Nanjing, China
Received:
5
July
2025
Accepted:
20
August
2025
Published online:
4
September
2025
Discrete neuronal networks face challenges in quantifying synchronization intervals and reproducing spatiotemporal dynamics on hardware platforms. To address these issues, we first establish an electrically pair-coupled Aihara neuron (PAN) model and systematically analyze synchronization transitions, rigorously proven via Lyapunov theory and verified through maximum Lyapunov exponent (MLE) and Normalized synchronization measure error (NSME). A major innovation is the extension of the Master stability function (MSF) framework to a hundred-neuron Aihara neural network (HANN), which enables precise prediction of synchronization intervals and reveals novel spatiotemporal patterns such as chimera states and traveling waves. To bridge theory and practice, we implement both low- and high-dimensional networks on a microcontroller unit (MCU) platform, achieving the first hardware reproduction of the spatiotemporal dynamics in large-scale discrete Aihara. Moreover, a neuromorphic pseudorandom number generator (PRNG) built on spatiotemporal chaos passes all NIST SP800-22 tests, demonstrating potential for secure communications. Overall, this work establishes a rigorous synchronization framework and provides the first hardware validation of high-dimensional discrete neuronal networks, offering new insights into collective dynamics in brain-inspired systems.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and 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.
