https://doi.org/10.1140/epjp/s13360-023-04515-y
Regular Article
Controllable multistability of fractional-order memristive coupled chaotic map and its application in medical image encryption
1
School of Electronic and Information Engineering, Anhui University, 230601, Hefei, China
2
Ecological Big Data Analysis and Application, National Engineering Research Center for Agro, Anhui University, 230601, Hefei, China
Received:
7
July
2023
Accepted:
23
September
2023
Published online:
11
October
2023
This paper introduces a fractional-order memristive coupled chaotic map (MCCM) that can generate desired number of coexisting attractors using a locally active discrete memristor. In particular, asymptotic stable points of the proposed discrete memristor are determined by internal parameters, leading to controllable homogeneous multistability which makes the proposed system more suitable for numerous engineering applications based on chaos. Phase diagrams, bifurcation diagrams, Lyapunov exponent spectrums, and attraction basins are used to investigate the complex dynamical behaviors of the fractional-order system. Numerical simulation demonstrates that special phenomena such as heterogeneous coexisting attractors, transient chaos and anti-monotonicity are generated in the proposed fractional-order MCCM. Moreover, the hardware implementation based on ARM platform verifies the correctness of the theoretical analyses. Finally, a medical image encryption scheme is designed based on the controllable coexisting chaotic sequences generated by the proposed fractional-order MCCM. Experimental results indicate that the proposed encryption scheme exhibits excellent security and strong robustness.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
