Design and realization of a new chaotic system

Liang, Zhang Cheng; Wang, Zhonglin

doi:10.1109/sns-pcs.2013.6553844

Cited by 1 publication

(3 citation statements)

References 10 publications

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“…Zhang et al 26 the maximum Lyapunov exponent of original Lorenz system L 1 = 1.2132. Thus, it can be proved that the improved system has larger positive Lyapunov exponent than the original system, which indicates that the behavior of chaotic system is more complicated and more suitable for information encryption.…”

Section: The Improvement Methods Of Lorenz Systemmentioning

confidence: 99%

“…For above system, when a = 10, b = 40, c = 1, d = 2.5, k = 1.76, the maximum Lyapunov exponent L 1 = 1.81519, L 2 = −0.00186, L 3 = −13.3133. Which indicates that compared with the original Lorenz system and the system in References 25,26, Equation ) has larger positive Lyapunov exponent and its chaotic behaviors are more complicated.…”

Section: The New Improved Lorenz System and Analysis Of Its Dynamic C...mentioning

confidence: 97%

“…Zhang et al 26 proposed to replace the nonlinear term xy in differential equation of variable z in Lorenz differential equations with exponential function xy . When parameters a = 10, b = 40, c = 1, d = 2.5, the maximum Lyapunov exponent L E1 = 1.733.…”

Section: Chaotic Systemmentioning

confidence: 99%

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A new image encryption algorithm based on optimized Lorenz chaotic system

Wang

Zhang

2020

Concurrency and Computation

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Summary In this article, an improved Lorenz system was constructed, in the first stage, a nonlinear term in general Lorenz system was replaced by the sum of term of exponential function and term of the square of single variable, then the dynamic characteristics of the improved Lorenz system were analyzed through the analysis on the phase diagrams and its Lyapunov exponents, and it is proved that the new system has good chaotic characteristics. In the second stage, to improve the security and anti‐attack ability of image encryption algorithm, a new image encryption algorithm was proposed based on this improved Lorenz chaotic system, which was used to generate two groups of key sequences which were used in scrambling encryption and alternative encryption. In the scrambling encryption stage, the gray values of image pixels were sorted in ascending order, and combining with the sequence of scrambled encryption key, the pixel position scrambling was realized. In the phase of the pixel value replacement encryption stage, the gray values of the pixels were changed by the method of cipher text feedback. In the third stage, the quantitative analysis of the effect of encryption was carried out by using histogram, information entropy, correlation coefficient of adjacent pixels. The experimental results show that the improved Lorenz formula is a nonlinear chaotic system, the encrypted algorithm based on this chaotic system can effectively resist chosen plaintext attack, in the encrypted image, the grey value shave random‐like distribution behavior and the adjacent pixels have zero correlation. The algorithm has a 299 bit key space and it is very sensitive to the key.

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Section: The Improvement Methods Of Lorenz Systemmentioning

confidence: 99%

Section: The New Improved Lorenz System and Analysis Of Its Dynamic C...mentioning

confidence: 97%