Multistability Dynamics Analysis and Digital Circuit Implementation of Entanglement-Chaos Symmetrical Memristive System

Lei, Tengfei; Zhou, You; Fu, Haiyan; Huang, Lili; Zang, Hongyan

doi:10.3390/sym14122586

Cited by 8 publications

(2 citation statements)

References 40 publications

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“…It can be seen that when the sequence power spectrum distribution is more unbalanced, the simpler the sequence spectral entropy structure is, the more obvious oscillation laws are in the signal, and the smaller the value of SE measure obtained, i.e., the smaller the complexity is, otherwise the greater the complexity is. For spatial spectral entropy complexity maps, the darker the image color, the greater the complexity of the system, the better the pseudo-randomness of the resulting sequence and the better it can be applied in the field of encryption [31].…”

Section: Complexity Analysismentioning

confidence: 99%

Research on Variable Parameter Color Image Encryption Based on Five-Dimensional Tri-Valued Memristor Chaotic System

Wang,

Ding

2024

Entropy

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To construct a chaotic system with complex characteristics and to improve the security of image data, a five-dimensional tri-valued memristor chaotic system with high complexity is innovatively constructed. Firstly, a pressure-controlled tri-valued memristor on Liu’s pseudo-four-wing chaotic system is introduced. Through analytical methods, such as Lyapunov exponential map, bifurcation map and attractor phase diagram, it is demonstrated that the new system has rich dynamical behaviors with periodic limit rings varying with the coupling parameter of the system, variable airfoil phenomenon as well as transient chaotic phenomenon of chaos-periodic depending on the system parameter and chaos-quasi-periodic depending on the memristor parameter. The system is simulated with dynamic circuits based on Simulink. Secondly, the differently structured synchronous controls of chaotic systems are realized using a nonlinear feedback control method. Finally, based on the newly constructed five-dimensional chaotic system, a variable parameter color image encryption scheme is proposed to iteratively generate varying chaotic pseudo-random sequences by varying the system parameters, which will be used for repetition-free disambiguation, additive modulo left-shift diffusion and DNA encryption for the three components of RGB of the color image after chunking. The simulation results are analyzed by histogram, information entropy, adjacent pixel correlation, etc., and the images are tested using differential attack, noise attack and geometric attack, as well as analyzing the PSNR and SSIM of the decrypted image quality. The results show that the encryption method has a certain degree of security and can be applied to medical, military and financial fields with more complex environmental requirements.

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Section: Complexity Analysismentioning

confidence: 99%

Research on Variable Parameter Color Image Encryption Based on Five-Dimensional Tri-Valued Memristor Chaotic System

Wang,

Ding

2024

Entropy

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“…From then on, research on memristors has attracted a huge amount of attention in industry and academia. Their natural nonlinear and non-volatile characteristics give memristors great potential for data storage and computation [3,4], artificial neural networks [5][6][7], nonlinear circuits [8][9][10], secure communication [11], image encryption [12][13][14], and other fields.…”

Section: Introductionmentioning

confidence: 99%

A Novel Fractional-Order Memristive Chaotic Circuit with Coexisting Double-Layout Four-Scroll Attractors and Its Application in Visually Meaningful Image Encryption

Wang

Zhang

et al. 2023

Symmetry

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This paper proposes a fractional-order chaotic system using a tri-stable locally active memristor. The characteristics of the memristor, dynamic mechanism of oscillation, and behaviors of the proposed system were analyzed, and then a visually meaningful image encryption scheme was designed based on the chaotic system, DNA encoding, and integer wavelet transform (IWT). Firstly, the mathematical model of the memristor was designed, which was nonvolatile, locally active, and tri-stable. Secondly, the stability, dynamic mechanism of oscillation, bifurcation behaviors, and complexity of the fractional-order memristive chaotic system were investigated and the conditions of stability were obtained. Thirdly, the largest Lyapunov exponent, bifurcation diagram, and complexity of the novel system were calculated and the coexisting bifurcation, coexisting attractors, spectral entropy, and so on are shown. Finally, a visually meaningful image encryption scheme based on the proposed system was designed, and its security was assessed by statistical analysis and different attacks. Numerical simulation demonstrated the effectiveness of the theoretical analysis and high security of the proposed image encryption scheme.

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A new three-dimensional memristor chaotic circuit design and its application in image encryption

Zhang,

Liu,

Guo

2024

J Supercomput

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Multistability Dynamics Analysis and Digital Circuit Implementation of Entanglement-Chaos Symmetrical Memristive System

Cited by 8 publications

References 40 publications

Research on Variable Parameter Color Image Encryption Based on Five-Dimensional Tri-Valued Memristor Chaotic System

Research on Variable Parameter Color Image Encryption Based on Five-Dimensional Tri-Valued Memristor Chaotic System

A Novel Fractional-Order Memristive Chaotic Circuit with Coexisting Double-Layout Four-Scroll Attractors and Its Application in Visually Meaningful Image Encryption

A new three-dimensional memristor chaotic circuit design and its application in image encryption

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