https://doi.org/10.1140/epjp/s13360-025-06339-4
Regular Article
Bidirectional coupling of two single memristive Hopfield inertial neurons
1
Institute of Computer Technology and Information Security, Southern Federal University, P.O. Box 347922, Taganrog, Russia
2
Unité de Recherche d’Automatique et d’Informatique Appliquée (UR-AIA), IUT-FV Bandjoun University of Dschang, P.O. Box 134, Bandjoun, Cameroon
3
Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, Cameroon
4
South Russian Regional Educational and Scientific Center on Information Security Issues in the Higher Education System, P.O. Box 347928, Taganrog, Russia
Received:
14
December
2024
Accepted:
16
April
2025
Published online:
19
May
2025
This study introduces a bidirectional coupling framework for two identical memristive Hopfield inertial neurons, investigating their dynamical behavior through tunable coupling parameters. Theoretical analysis reveals the system’s capacity for up to nine equilibrium points, while numerical simulations uncover rich nonlinear phenomena, including multi-scroll chaos, antimonotonicity, bursting oscillations, and extreme multistability with up to eight coexisting nonchaotic attractors. Notably, a specific parameter configuration induces infinitely many coexisting periodic states, underscoring the system’s dynamical versatility. Experimental validation is achieved via an ATMEGA2560 microcontroller, establishing a low-cost, cost-effective platform for real-world emulation of complex dynamics. The generated sequences exhibit sufficient pseudorandomness through rigorous statistical testing and suitability for secure communication applications.
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© 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.
