A class of fractional-order discrete map with multi-stability and its digital circuit realization

Liu, Tianming; Mou, Jun; Jahanshahi, Hadi; Yan, Hao; Cao, Yinghong

doi:10.1088/1402-4896/ac71dd

Cited by 7 publications

(3 citation statements)

References 47 publications

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“…Therefore, the problem of maintaining a certain degree of usability while ensuring the security of the encrypted video is an urgent one. At the same time, due to the good properties of chaotic systems, such as extreme sensitivity to initial values and unpredictability [35][36][37][38][39], they are very suitable for video encryption, and there have been a number of video encryption schemes that make use of these properties of chaotic systems to increase the security of the scheme as well as to improve encryption efficiency [34,40,41].…”

Section: Introductionmentioning

confidence: 99%

A Visually Meaningful Color-Video Encryption Scheme That Combines Frame Channel Fusion and a Chaotic System

An,

Hao,

et al. 2024

Electronics

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Compared to text and images, video can show information more vividly and intuitively via a moving picture; therefore, video is widely used in all walks of life. However, videos uploaded or stored in various video applications have not been treated with any protection, and these videos contain a lot of sensitive information that is more likely to be compromised. To solve this problem, video encryption schemes have been proposed. However, the main concern with existing video encryption schemes is that the private information in the encrypted video should be effectively protected, and, thus, the pixel distribution of the original video can be greatly damaged in the process of encryption, resulting in no or poor visual usability of the encrypted video. To this end, a novel color-video encryption scheme is proposed, which can effectively protect video privacy information while retaining certain visual information, thus enhancing the usability of encrypted videos. Firstly, the R, G, and B channels of the original color video are viewed as a whole for splitting. The dimensions of the blocks are three-dimensional, and permutation encryption is performed in three-dimensional blocks, which eliminates the redundancy of information between the video frame channels. Secondly, after permutation encryption, the channels of the video frame are separated, and then each channel is divided into blocks. The shape of the blocks is a square, and substitution encryption and permutation encryption operations are performed in turn. The whole encryption process is combined with the 2D-LSM chaotic system to improve the security of the scheme, as well as to reduce the time. Extensive experiments have been carried out, and the results show that the proposed scheme allows the encrypted video to retain rough visual information and, at the same time, effectively protects privacy, achieving the goal of encrypted video security and usability.

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Section: Introductionmentioning

confidence: 99%

A Visually Meaningful Color-Video Encryption Scheme That Combines Frame Channel Fusion and a Chaotic System

An,

Hao,

et al. 2024

Electronics

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“…He et al [10] used CHAM method to solve and investigated active synchronization of conformal fractional-order chaotic systems. And Liu et al [11] constructed a class of fractional-order map by modulating Gaussian functions. Yao et al [12] introduce fractional-order into FHN neural circuits and investigated fractional-order neural circuits composed of fractional-order basic components.…”

Section: Introductionmentioning

confidence: 99%

A new fractional-order complex chaotic system with extreme multistability and its implementation

Ren¹,

Li²,

Banerjee³

et al. 2023

Phys. Scr.

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In this paper, a new fractional-order complex chaotic system (FOCCS) is proposed and studied. Firstly, the dissipativity and stability are discussed. Secondly, the dynamical characteristics of the system with parameters and order changes are analyzed by using phase diagrams, Lyapunov exponent (LEs) and bifurcation diagrams, respectively. In addition, the dynamical behavior is discussed for q of integer and fractional orders. In particular, the attractor coexistence is found, such as the coexistence of chaotic attractor and chaotic attractor, and chaotic attractor and periodic attractor. Interestingly, the multiple attractors coexistence is found by changing the initial conditions with ﬁxed parameters. Finally, it is implemented on the analog circuit and DSP platform. The study provide a reference for the research and application of chaos.

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“…Over the past years, chaotic theory has received more and more attentions in nonlinear science [1][2][3]. The chaotic system can be divided into the system which has equilibrium points and no equilibrium points [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Generating rotationally hidden attractive sea via a new chaotic system with two mixed memristors

Zhou,

2023

Phys. Scr.

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In this work, a novel 3D memristive chaotic system which has an exponential function is proposed. Especially, the sum of Lyapunov exponents in the proposed system is 0. It indicates that the system can generate attractive sea not attractor. In comparison with some other 3D chaotic systems, this type of chaotic system is relatively rare. In particular, the proposed system has non-equilibrium point, and it can produce hidden sea. Furthermore, the perpetual point of the proposed system is caculated. It is considered to be potentially related to the generation of hidden dynamics. By using the dynamic analysis tool such as 0-1 test and 2D dynamical map, the dynamic behaviors with different control parameters are analyzed. And then, based on the proposed 3D chaotic system, two new system models are reconstructed. The new model can produce the rotational hidden attractive sea with different angles. DSP implementation shows the feasibility of the system for industrial applications.

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A class of fractional-order discrete map with multi-stability and its digital circuit realization

Cited by 7 publications

References 47 publications

A Visually Meaningful Color-Video Encryption Scheme That Combines Frame Channel Fusion and a Chaotic System

A Visually Meaningful Color-Video Encryption Scheme That Combines Frame Channel Fusion and a Chaotic System

A new fractional-order complex chaotic system with extreme multistability and its implementation

Generating rotationally hidden attractive sea via a new chaotic system with two mixed memristors

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