A new family of 5D, 6D, 7D and 8D hyperchaotic systems from the 4D hyperchaotic Vaidyanathan system, the dynamic analysis of the 8D hyperchaotic system with six positive Lyapunov exponents and an application to secure communication design

Benkouider, Khaled; Bouden, Toufik; Yalçın, Müştak E.; Vaidyanathan, Sundarapandian

doi:10.1504/ijmic.2020.114191

Cited by 9 publications

(3 citation statements)

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“…2.2. Hyperchaotic system 6D hyperchaotic Vaidyanathan system [39] is a hyperchaotic system researched by Vaidyanathan's team. The resulting 6D dynamical system is described as follows:…”

Section: Grunwald-letnikov Fractional Order Calculusmentioning

confidence: 99%

An algorithm based on 6D fractional order hyperchaotic system and knight tour algorithm to encrypt image

He,

Chen,

Wang

et al. 2024

Phys. Scr.

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The security guarantee of data transmission is becoming more crucial as the frequency of information interchange rises. Ensuring the security of images is essential since they serve as a vital transmission medium. This research suggests an image encryption method that combines the knight tour algorithm with a 6D fractional order hyperchaotic system. First, chaotic sequences are produced using a fractional order hyperchaotic system, which is then utilized to index order and jumble the entire image. To retrieve the image after the second scrambling, choose the knight tour beginning point and run ten rounds of knight tour algorithms on the scrambled image. Thirdly, to maximize the efficiency of picture encryption, employ diffusion methods. The outcomes of the imaging experiment were lastly tested and assessed. The security of the image can be successfully guaranteed by a high-dimensional fractional order hyperchaotic system. This is because its high dimensionality gives it a larger key space than the low dimensional system. This is why it can resist attacks more effectively. After a series of evaluation experiments, it is obvious that this encryption scheme has good encryption performance.

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“…2.2. Hyperchaotic system 6D hyperchaotic Vaidyanathan system [39] is a hyperchaotic system researched by Vaidyanathan's team. The resulting 6D dynamical system is described as follows:…”

Section: Grunwald-letnikov Fractional Order Calculusmentioning

confidence: 99%

An algorithm based on 6D fractional order hyperchaotic system and knight tour algorithm to encrypt image

He,

Chen,

Wang

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…Some encryption schemes including the proposed scheme in this study use 2D or 4D chaotic systems [48][49] . In order to improve the security of encryption schemes, chaotic systems with more than 4D are also common [18][19][20] .…”

Section: Qualitative Analysismentioning

confidence: 99%

“…In addition, researchers also used a combination of low dimensional chaotic system which also increased the safety of the algorithm [16][17] . Compared to the low dimensional chaotic system, a high dimensional chaotic system has a more unpredictable and complicated structure that is difficult to break [18][19][20] . Researchers have proposed various types of hyperchaos system.…”

Section: Introductionmentioning

confidence: 99%

Medical Image Encryption Based on Josephus Traversing and Hyperchaotic Lorenz System

Yang

Zhang

Bai

et al. 2022

J. Shanghai Jiaotong Univ. (Sci.)

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This study proposes a new medical image encryption scheme based on Josephus traversing and hyperchaotic Lorenz system. First, a chaotic sequence is generated through hyperchaotic system. This hyperchaotic sequence is used in the scrambling and diffusion stages of the algorithm. Second, in the scrambling process, the image is initially confused by Josephus scrambling, and then the image is further confused by Arnold map. Finally, generated hyperchaos sequence and exclusive OR operation is used for the image to carry on the positive and reverse diffusion to change the pixel value of the image and further hide the effective information of the image. In addition, the information of the plaintext image is used to generate keys used in the algorithm, which increases the ability of resisting plaintext attack. Experimental results and security analysis show that the scheme can effectively hide plaintext image information according to the characteristics of medical images, and is resistant to common types of attacks. In addition, this scheme performs well in the experiments of robustness, which shows that the scheme can solve the problem of image damage in telemedicine. It has a positive significance for the future research.

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Synchronization of hyperchaotic Wang-Liu system with experimental implementation on FPAA and FPGA

Yılmaz

Altun

Günay

2022

Analog Integr Circ Sig Process

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A new family of 5D, 6D, 7D and 8D hyperchaotic systems from the 4D hyperchaotic Vaidyanathan system, the dynamic analysis of the 8D hyperchaotic system with six positive Lyapunov exponents and an application to secure communication design

Cited by 9 publications

References 0 publications

An algorithm based on 6D fractional order hyperchaotic system and knight tour algorithm to encrypt image

An algorithm based on 6D fractional order hyperchaotic system and knight tour algorithm to encrypt image

Medical Image Encryption Based on Josephus Traversing and Hyperchaotic Lorenz System

Synchronization of hyperchaotic Wang-Liu system with experimental implementation on FPAA and FPGA

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