A novel fractional piecewise linear map: regular and chaotic dynamics

Bououden, R.; Abdelouahab, Mohammed-Salah; Jarad, Fahd; Hammouch, Zakia

doi:10.1080/03081079.2021.1919102

Cited by 7 publications

(2 citation statements)

References 26 publications

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“…Another method for text-to-image encryption and decryption based on piece-wise linear chaotic maps was suggested by [20,21]. This work presented a piece-wise linear chaotic map approach for encrypting text into images (PWLCM).…”

Section: Related Workmentioning

confidence: 99%

A Fast Text-to-Image Encryption-Decryption Algorithm for Secure Network Communication

et al. 2022

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Data security is the science of protecting data in information technology, including authentication, data encryption, data decryption, data recovery, and user protection. To protect data from unauthorized disclosure and modification, a secure algorithm should be used. Many techniques have been proposed to encrypt text to an image. Most past studies used RGB layers to encrypt text to an image. In this paper, a Text-to-Image Encryption-Decryption (TTIED) algorithm based on Cyan, Magenta, Yellow, Key/Black (CMYK) mode is proposed to improve security, capacity, and processing time. The results show that the capacity increased from one to four times compared to RGB mode. Security was also improved due to a decrease in the probability of an adversary discovering keys. The processing time ranged between 0.001 ms (668 characters) and 31 s (25 million characters), depending on the length of the text. The compression rate for the encrypted file was decreased compared to WinRAR. In this study, Arabic and English texts were encrypted and decrypted.

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Section: Related Workmentioning

confidence: 99%

A Fast Text-to-Image Encryption-Decryption Algorithm for Secure Network Communication

et al. 2022

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“…In [9], a novel piecewise linear map was proposed which had chaotic attractors by border collision bifurcation. In addition, fractional-order chaotic maps with fractional dynamics have become a hot topic [10]. The fractional logistic system with discrete memory [11], fractional sine and standard systems [12], and a fractional Hénon map [13] are some examples of related research in fractional-order maps.…”

Section: Introductionmentioning

confidence: 99%

A novel chaotic map with a shifting parameter and stair-like bifurcation diagram: dynamical analysis and multistability

Ramadoss¹,

Natiq²,

Nazarimehr

et al. 2023

Phys. Scr.

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In this paper, the behavior of a 1D chaotic map is proposed which includes two sine terms and shows unique dynamics. By varying the bifurcation parameter, the map has a shift, and the system's dynamics are generated around the cross points of the map and the identity line. The irrational frequency of the sine term makes the system have stable fixed points in some parameter intervals by increasing the bifurcation parameter. So, the bifurcation diagram of the system shows that the trend of the system's dynamics changes in a stair shape with slope one by changing the bifurcation parameter. Due to the achieving multiple steady states in some intervals of the parameter, the proposed system is known as multistable. The multistability dynamics of the map are investigated with the help of cobweb diagrams which reveal an interesting asymmetry in repeating parts of the bifurcation diagram.

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Analysis of a stochastic SEIS epidemic model with the standard Brownian motion and Lévy jump

et al. 2022

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A novel fractional piecewise linear map: regular and chaotic dynamics

Cited by 7 publications

References 26 publications

A Fast Text-to-Image Encryption-Decryption Algorithm for Secure Network Communication

A Fast Text-to-Image Encryption-Decryption Algorithm for Secure Network Communication

A novel chaotic map with a shifting parameter and stair-like bifurcation diagram: dynamical analysis and multistability

Analysis of a stochastic SEIS epidemic model with the standard Brownian motion and Lévy jump

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