Cited by 250Chaos-based Image/Signal EncryptionChaos control and synchronizationMathematical Dynamics and Fractals

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A 3D Memristive Cubic Map With Dual Discrete Memristors: Design, Implementation, and Application in Image Encryption

Gao, Suo, Ho-Ching Iu, Herbert, Erkan, Uğur, Simsek, Cemaleddin, Toktas, Abdurrahim, Cao, Yinghong, Wu, Rui, Mou, Jun, Li, Qi, Wang, Chunpeng·2025·IEEE Transactions on Circuits and Systems for Video Technology

DOI 10.1109/tcsvt.2025.3545868

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Abstract

Discrete chaotic systems based on memristors exhibit excellent dynamical properties and are more straightforward to implement in hardware, making them highly suitable for generating cryptographic keystreams. However, most existing memristor-based chaotic systems rely on a single memristor. This paper introduces a novel discrete chaotic system employing dual memristors, named the 3D memristive cubic map with dual discrete memristors (3D-MCM). The 3D-MCM system demonstrates richer and more intricate dynamical behaviors compared to its single-memristor counterparts, as verified through bifurcation diagrams, Lyapunov exponent spectra, and complexity analyses. Notably, the system exhibits coexisting attractors, substantially enhancing its dynamical complexity. Hardware implementation of the 3D-MCM attractors confirms its feasibility for industrial applications. To illustrate the system’s potential in encryption tasks, this study integrates the quaternary-based permutation and dynamic emanating diffusion (QPDED-IE) scheme with the 3D-MCM for image encryption. Experimental results demonstrate that the QPDED-IE scheme based on the 3D-MCM exhibits strong diffusion and confusion properties, effectively resisting cryptanalytic attacks.

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If it's pinched it's a memristor
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Authors: Gao, S., Ho-Ching Iu, H., Erkan, U., Simsek, C., Toktas, A., Cao, Y., Wu, R., Mou, J., Li, Q., & Wang, C.
Affiliations: Dalian Polytechnic University (CN)
School of Electrical, Electronic and Computer Engineering, The University of Western Australia, Perth, WA, Australia
Karamanoğlu Mehmetbey University (TR)
Department of Electrical Electronics Engineering, Karamanoglu Mehmetbey University, Karaman, Turkiye
Department of Artificial Intelligence and Data Engineering, Engineering Faculty, Ankara University, Ankara, Türkiye
Harbin Institute of Technology (CN)
Qilu University of Technology (CN)
ORCID: Gao, Suo
Ho-Ching Iu, Herbert
Erkan, Uğur
Simsek, Cemaleddin
Toktas, Abdurrahim
Cao, Yinghong
Wu, Rui
Mou, Jun
Li, Qi
Wang, Chunpeng
Venue: IEEE Transactions on Circuits and Systems for Video Technology
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Published: 2025-08
Volume: 35
Issue: 8
Pages: 7706-7718
ISSN: 1051-8215 (ISSN-L)
1558-2205
DOI: 10.1109/tcsvt.2025.3545868
OpenAlex: W4407948341
Semantic Scholar: f042f07247a3fa8fb0b49202b08488dd33b3b7da
Cited by: 250
References: 48
Citations by year: 2026: 132 · 2025: 118
FWCI: 87.28
Type: journal article
Language: en
Open access: closed
Licence: ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html (vor)
doi.org/10.15223/policy-029 (stm-asf)
doi.org/10.15223/policy-037 (stm-asf)
Locations: IEEE Transactions on Circuits and Systems for Video Technology (publishedVersion)
UWA Profiles and Research Repository (UWA) (submittedVersion)
Funders: Basic Scientific Research Projects in the Department of Education of Liaoning Province (LJ212410152049)
Technological Innovation Projects in the field of artificial intelligence in Liaoning (2023JH26/10300011)
Topics: Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Chaos-based Image/Signal Encryption
Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
Keywords: discrete-time chaotic systems, image encryption, coexisting attractors, hardware implementation, confusion and diffusion, cryptanalysis resistance

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A 3D Memristive Cubic Map With Dual Discrete Memristors: Design, Implementation, and Application in Image Encryption

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