https://doi.org/10.1140/epjb/s10051-024-00662-y
Regular Article - Statistical and Nonlinear Physics
A tri-valued memristive chaotic system with hidden attractors and its image encryption application
Gui Zhou University, Guizhou, China
Received:
2
November
2023
Accepted:
19
February
2024
Published online:
21
March
2024
This paper presents a chaotic system with hidden attractors by introducing a tri-valued memristor into the Liu chaotic system. The attractors have a rich topology, as shown by the analysis of the phase diagram, Poincaré diagram, Lyapunov exponential spectrum and bifurcation diagram, and we try to summarize the regularity of the system characteristics within a certain range of controllable parameters. We analyzed attractors with strange shapes by setting different parameters, and the multistability and the transient behavior is analyzed, which reflects the high complexity of the system, The complexity characteristics of the system are also analyzed by calculating the SE value and C0 complexity, the corresponding circuit is designed, and the simulation analysis of the system is carried out to verify the physical realizability of the system. Finally, this system is applied to image encryption to analyze its security from a histogram and correlation perspective. These findings provide a reference value for the tri-valued memristor based system for encryption applications.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
