Chaos synchronization in generalized Lorenz systems and an application to image encryption

Moon, Sungju; Baik, Jong‐Jin; Seo, Jaemyeong Mango

doi:10.1016/j.cnsns.2021.105708

Cited by 66 publications

(33 citation statements)

References 35 publications

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“…e hyperchaotic Lorenz system has multiple positive Lyapunov exponents, has a high keyspace, and can improve the confidentiality performance of the encryption algorithm [17]. e dynamic formula of hyperchaotic Lorenz is…”

Section: Hyperchaotic Lorenz Systemmentioning

confidence: 99%

A Novel Chaotic Image Encryption Algorithm Based on Latin Square and Random Shift

Zhang

Wang

et al. 2021

Computational Intelligence and Neuroscience

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To realize the safe transmission of images, a chaotic image encryption algorithm based on Latin square and random shift is proposed. The algorithm consists of four parts: key generation, pixel scrambling, pixel replacement, and bit scrambling. Firstly, the key is generated from the plain image to improve the sensitivity of the encryption method. Secondly, each pixel in each row of the image matrix is moved cyclically to the right, in turn, to change the position of the image pixel and realize pixel position scrambling. Then, a 256-order Latin square matrix composed of a chaotic sequence is used as a lookup table, and the replacement coordinates are calculated based on the image pixel value and the chaotic sequence value, replacing the corresponding coordinate elements in the image matrix. Finally, decompose the bitplane of the image matrix and combine it into two-bit matrices, scramble the two bit matrices, respectively, with the Latin square matrix, recombine the scrambled two-bit matrices, and convert them into decimal to obtain the ciphertext image. In the proposed encryption method, all the Latin square matrices used are generated by chaotic sequences, further enhancing the complexity of the generated Latin square matrix and improving the algorithm’s security. Experimental results and security analysis show that the proposed algorithm has good security performance and is suitable for image encryption.

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Section: Hyperchaotic Lorenz Systemmentioning

confidence: 99%

A Novel Chaotic Image Encryption Algorithm Based on Latin Square and Random Shift

Zhang

Wang

et al. 2021

Computational Intelligence and Neuroscience

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“…Then, in [53], the chaos control of a piezoelectric auto parametric vibration system is shown. The synchronization problem consists in following the drive system trajectory in time by the response system in order to drive the error variable to zero in finite time as appears in [28]:…”

Section: Related Workmentioning

confidence: 99%

Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints

Azar

Serrano

Zhu

et al. 2021

Entropy

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In this paper, the robust stabilization and synchronization of a novel chaotic system are presented. First, a novel chaotic system is presented in which this system is realized by implementing a sigmoidal function to generate the chaotic behavior of this analyzed system. A bifurcation analysis is provided in which by varying three parameters of this chaotic system, the respective bifurcations plots are generated and evinced to analyze and verify when this system is in the stability region or in a chaotic regimen. Then, a robust controller is designed to drive the system variables from the chaotic regimen to stability so that these variables reach the equilibrium point in finite time. The robust controller is obtained by selecting an appropriate robust control Lyapunov function to obtain the resulting control law. For synchronization purposes, the novel chaotic system designed in this study is used as a drive and response system, considering that the error variable is implemented in a robust control Lyapunov function to drive this error variable to zero in finite time. In the control law design for stabilization and synchronization purposes, an extra state is provided to ensure that the saturated input sector condition must be mathematically tractable. A numerical experiment and simulation results are evinced, along with the respective discussion and conclusion.

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“…In [ 59 ], the idea of synchronization based on the sliding mode control method and developing the advanced encryption standard algorithm is presented. Synchronization of chaotic systems based on additional Fourier modes is one of the newest methods proposed by [ 60 ]. Ding et al [ 38 ] performed the encryption based on fractional-order Henon chaotic map and the discrete-time wavelet transform for a hyper-chaotic system.…”

Section: Introductionmentioning

confidence: 99%

Medical Images Encryption Based on Adaptive-Robust Multi-Mode Synchronization of Chen Hyper-Chaotic Systems

Javan

Jafari

Shoeibi

et al. 2021

Sensors

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In this paper, a novel medical image encryption method based on multi-mode synchronization of hyper-chaotic systems is presented. The synchronization of hyper-chaotic systems is of great significance in secure communication tasks such as encryption of images. Multi-mode synchronization is a novel and highly complex issue, especially if there is uncertainty and disturbance. In this work, an adaptive-robust controller is designed for multimode synchronized chaotic systems with variable and unknown parameters, despite the bounded disturbance and uncertainty with a known function in two modes. In the first case, it is a main system with some response systems, and in the second case, it is a circular synchronization. Using theorems it is proved that the two synchronization methods are equivalent. Our results show that, we are able to obtain the convergence of synchronization error and parameter estimation error to zero using Lyapunov’s method. The new laws to update time-varying parameters, estimating disturbance and uncertainty bounds are proposed such that stability of system is guaranteed. To assess the performance of the proposed synchronization method, various statistical analyzes were carried out on the encrypted medical images and standard benchmark images. The results show effective performance of the proposed synchronization technique in the medical images encryption for telemedicine application.

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Chaos synchronization in generalized Lorenz systems and an application to image encryption

Cited by 66 publications

References 35 publications

A Novel Chaotic Image Encryption Algorithm Based on Latin Square and Random Shift

A Novel Chaotic Image Encryption Algorithm Based on Latin Square and Random Shift

Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints

Medical Images Encryption Based on Adaptive-Robust Multi-Mode Synchronization of Chen Hyper-Chaotic Systems

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