Dynamic analysis of an improper fractional-order laser chaotic system and its image encryption application

Yang, Feifei; Mou, Jun; Ma, Chenguang; Cao, Yinghong

doi:10.1016/j.optlaseng.2020.106031

Cited by 163 publications

(82 citation statements)

References 41 publications

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“…In addition, applying fractional order to chaotic systems can increase the key space of the system to improve the reliability of the cryptosystem. Therefore, some encryption schemes combining fractional-order chaotic systems are proposed [42]- [51]. Yang, et al [42] studied a color image compression-encryption scheme based on fractionalorder memristive chaotic map, but the memristive chaotic circuit is complicated.…”

Section: Introductionmentioning

confidence: 99%

An Image Compression and Encryption Algorithm Based on the Fractional-Order Simplest Chaotic Circuit

Cao

et al. 2021

IEEE Access

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Based on compressive sensing and fractional-order simplest memristive chaotic system, this paper proposes an image compression and encryption scheme. First, a fractional-order simplest memristive chaotic circuit system is designed. The dynamic characteristics of the chaotic system are analyzed by the phase diagram, the Lyapunov exponents spectrum, and the bifurcation diagram to determine the parameters and pseudo-random sequences used in the encryption scheme. Secondly, an encryption scheme based on compressive sensing is designed. This scheme compresses the image twice to fully reduce the storage cost, and scrambles the pixel matrix twice through block scrambling and zigzag transformation, and then uses chaotic pseudo-random sequence and GF (17) domain diffusion image matrix to obtain the final cipher image. Finally, simulation results and performances analysis indicate that the scheme still has good reconstruction performance, even when the compression ratio is 0.25, and the security analysis shows that it can resist various attacks and has high security. INDEX TERMS Image encryption; Compressive sensing (CS); Fractional-order simplest memristive chaotic system

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Section: Introductionmentioning

confidence: 99%

An Image Compression and Encryption Algorithm Based on the Fractional-Order Simplest Chaotic Circuit

Cao

et al. 2021

IEEE Access

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“…As shown in Table 1 , some previous chaos-based ciphers are vulnerable upon various attack methods, including chosen-ciphertext attack [ 16 ], chosen-/known-plaintext attack [ 12 ], differential cryptanalysis [ 17 ], even cipher-only attack [ 18 ]. Therefore, research on security is extremely important and has received much attention [ 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 ].…”

Section: Introductionmentioning

confidence: 99%

Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos

Wen

Zhang

Huang

et al. 2021

Entropy

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Fractional-order chaos has complex dynamic behavior characteristics, so its application in secure communication has attracted much attention. Compared with the design of fractional-order chaos-based cipher, there are fewer researches on security analysis. This paper conducts a comprehensive security analysis of a color image encryption algorithm using a fractional-order hyperchaotic system (CIEA-FOHS). Experimental simulation based on excellent numerical statistical results supported that CIEA-FOHS is cryptographically secure. Yet, from the perspective of cryptanalysis, this paper found that CIEA-FOHS can be broken by a chosen-plaintext attack method owing to its some inherent security defects. Firstly, the diffusion part can be eliminated by choosing some special images with all the same pixel values. Secondly, the permutation-only part can be deciphered by some chosen plain images and the corresponding cipher images. Finally, using the equivalent diffusion and permutation keys obtained in the previous two steps, the original plain image can be recovered from a target cipher image. Theoretical analysis and experimental simulations show that the attack method is both effective and efficient. To enhance the security, some suggestions for improvement are given. The reported results would help the designers of chaotic cryptography pay more attention to the gap of complex chaotic system and secure cryptosystem.

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“…At present, there are some image encryption algorithms based on chaotic system [21][22][23][24][25][26][27][28][29][30][31][32][33][34]. Such as Yang et al [35,36] designed image encryption algorithm by using fractional-order chaotic system. Chai et al [37] proposed an image compression and encryption algorithm based on chaotic system and compression sensing.…”

Section: Introductionmentioning

confidence: 99%

An Image Encryption Algorithm Based on a New Memristor Chaotic System and DNA Variation

Zhang

Yang

et al. 2021

Preprint

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In this paper, a new memristor chaotic system is designed based on Chua’s memristor chaotic system. To get the complete picture of the brain of a three-dimensional chaotic attractor, red and blue 3D glasses is used to observe the chaotic attractor, and using Lyapunov exponent spectrum, SE complexity and C0 complexity to analyze dynamical characteristics of new memristor chaotic system. The results illustrate that the chaotic state of the new memristor chaotic system is distributed over a large parameter range, which shows that the new memristor chaotic system is more suitable for image encryption applications. To verify the image encryption application of the new memristor chaotic system, a novel image encryption algorithm is designed based on the new memristor chaotic system and DNA variation. The security performances of the designed algorithm indicate that the proposed algorithm can effectively encrypt image and has better security performance.

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Dynamic analysis of an improper fractional-order laser chaotic system and its image encryption application

Cited by 163 publications

References 41 publications

An Image Compression and Encryption Algorithm Based on the Fractional-Order Simplest Chaotic Circuit

An Image Compression and Encryption Algorithm Based on the Fractional-Order Simplest Chaotic Circuit

Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos

An Image Encryption Algorithm Based on a New Memristor Chaotic System and DNA Variation

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