Dynamical Analysis of a Novel Fractional-Order Chaotic System Based on Memcapacitor and Meminductor

Liu, Xingce; Mou, Jun; Wang, Jue; Banerjee, Santo

doi:10.3390/fractalfract6110671

Cited by 28 publications

(10 citation statements)

References 41 publications

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“…[16][17][18][19] Most of the previously proposed encryption schemes utilize the generated chaotic sequences to re-alize the confusion and diffusion operations on the plaintext images, and after obtaining the cipher images, the user can get the decrypted images under the condition of the given chaotic key. [20][21][22][23][24] Chaotic systems are extremely keysensitive, i.e., two sets of chaotic keys with a slight difference produce chaotic sequences that are radically different from each other. [25][26][27][28][29][30][31] The proposed scheme takes advantage of this and produces hierarchical chaotic keys, so that users with different security levels can obtain different chaotic keys to decrypt images with different visibility levels, and at the same time improves the problem of decrypting images with a single visibility level in the previously proposed encryption schemes.…”

Section: Introductionmentioning

confidence: 99%

A chaotic hierarchical encryption/watermark embedding scheme for multi-medical images based on row–column confusion and closed-loop bi-directional diffusion

Zhang 张,

Mou 牟,

Banerjee

et al. 2024

Chinese Phys. B

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Security during remote transmission has been an important concern for researchers in recent years. In this paper, a hierarchical encryption multi-image encryption scheme for people with different security levels is designed, and a multi-image encryption (MIE) algorithm with row and column confusion and closed-loop bi-directional diffusion is adopted in the paper. While ensuring secure communication of medical image information, people with different security levels have different levels of decryption keys, and differentiated visual effects can be obtained by using the strong sensitivity of chaotic keys. The highest security level can obtain decrypted images without watermarks, and at the same time, patient information and copyright attribution can be verified by obtaining watermark images. The experimental results show that the scheme is sufficiently secure as a MIE scheme with visualized differences and the encryption and decryption efficiency is significantly improved compared to other works.

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Section: Introductionmentioning

confidence: 99%

A chaotic hierarchical encryption/watermark embedding scheme for multi-medical images based on row–column confusion and closed-loop bi-directional diffusion

Zhang 张,

Mou 牟,

Banerjee

et al. 2024

Chinese Phys. B

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“…[21][22][23] In this paper, a fivedimensional fractional chaotic system is designed with memcapacitor and meminductor. [25] Because constructing nonlin-ear circuits through memory elements is an important research direction of chaotic systems, the selected system is of great practical significance. [26,27,56,[58][59][60] For the dispute of copyright ownership, scholars regard watermark technology as the first choice to solve the problem.…”

Section: Introductionmentioning

confidence: 99%

Novel self-embedding holographic watermarking image encryption protection scheme

Wang 王,

Zhou 周,

Sun 孙

et al. 2024

Chinese Phys. B

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For digital image transmission security and information copyright, a new holographic image self-embedding watermarking encryption scheme is proposed. Firstly, the plaintext is converted to the RGB three-color channel, the corresponding phase hologram is obtained by holographic technology and the watermark is self-embedded in the frequency domain. Secondly, by applying Hilbert transform principle and genetic center law, a complete set of image encryption algorithm is constructed to realize the encryption of image information. Finally, simulation results and security analysis indicate that the scheme can effectively encrypt and decrypt image information and realize the copyright protection of information. The introduced scheme can provide some support for relevant theoretical research, and therefore has practical significance.

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“…The exploration of fractional order calculus theory provides a new way of thinking to create value [1,2]. Fractional order calculus is a theory that studies differential integrals of an arbitrary order, and it has a very important role in many fields [3,4], such as bioinformatics, image enhancement, image encryption, chaos, and complex networks [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Dynamical Analysis of the Incommensurate Fractional-Order Hopfield Neural Network System and Its Digital Circuit Realization

Wang

Chu

2023

Fractal Fract

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Dynamical analysis of the incommensurate fractional-order neural network is a novel topic in the field of chaos research. This article investigates a Hopfield neural network (HNN) system in view of incommensurate fractional orders. Using the Adomian decomposition method (ADM) algorithm, the solution of the incommensurate fractional-order Hopfield neural network (FOHNN) system is solved. The equilibrium point of the system is discussed, and the dissipative characteristics are verified and discussed. By varying the order values of the proposed system, different dynamical behaviors of the incommensurate FOHNN system are explored and discussed via bifurcation diagrams, the Lyapunov exponent spectrum, complexity, etc. Finally, using the DSP platform to implement the system, the results are in good agreement with those of the simulation. The actual results indicate that the system shows many complex and interesting phenomena, such as attractor coexistence and an inversion property, with dynamic changes of the order of q0, q1, and q2. These phenomena provide important insights for simulating complex neural system states in pathological conditions and provide the theoretical basis for the later study of incommensurate fractional-order neural network systems.

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Dynamical Analysis of a Novel Fractional-Order Chaotic System Based on Memcapacitor and Meminductor

Cited by 28 publications

References 41 publications

A chaotic hierarchical encryption/watermark embedding scheme for multi-medical images based on row–column confusion and closed-loop bi-directional diffusion

A chaotic hierarchical encryption/watermark embedding scheme for multi-medical images based on row–column confusion and closed-loop bi-directional diffusion

Novel self-embedding holographic watermarking image encryption protection scheme

Dynamical Analysis of the Incommensurate Fractional-Order Hopfield Neural Network System and Its Digital Circuit Realization

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