https://doi.org/10.1140/epjp/s13360-025-07127-w
Regular Article
Circuit implementation and synchronization of a four-dimensional CNN chaotic system with cosine-memristor-induced extreme multistability
College of Physics and Electronic Engineering, Northwest Normal University, 730070, Lanzhou, Gansu, China
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Received:
23
October
2025
Accepted:
27
November
2025
Published online:
8
December
2025
Abstract
A new four-dimensional chaotic system based on a cosine flux-controlled memristor is proposed in this paper. This work introduces, for the first time, the cosine-type memristor into a CNN-based chaotic framework, enabling a distinctive nonlinear modulation mechanism that enriches the system dynamics. The developed system exhibits complex behaviors such as multistability, offset-boosting, and extreme sensitivity to initial conditions. Its dynamical properties are analyzed through equilibrium analysis, Poincaré sections, bifurcation diagrams, and Lyapunov spectra. Furthermore, an analog circuit and an FPGA-based digital implementation are constructed, both of which validate the correctness of the mathematical model. Finally, the proposed system is employed for chaotic synchronization, where a simple linear feedback controller achieves fast and robust synchronization performance.
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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.
