Dynamical Analysis of a Novel Complex Chaotic System and Application in Image Diffusion

Yang, Feifei; Mou, Jun; Yan, Hao; Hu, Jinhua

doi:10.1109/access.2019.2937126

Cited by 22 publications

(11 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Under normal circumstances, a higher value of complexity implies that the chaotic sequence is closer to a random sequence. The spectral entropy (SE) complexity algorithm [29] and the C 0 structure complexity algorithm [30] are used to test complexity.…”

Section: Complexity Analysismentioning

confidence: 99%

“…To strengthen the safety of the chaotic systems and the formation of confusionand diffusion-based image encryption, we put forward a new Sine-coupling-Logisticmodulated-Sine system based on two one-dimensional maps, which expands the results from one-dimensional to two-dimensional. To verify the better performance of the newly designed 2D-SCLMS map compared to many existing chaotic maps, the dynamics of the newly designed 2D-SCLMS map is analyzed from multiple perspectives, including chaotic trajectory, bifurcation diagram, Lyapunov exponent, two complexity analysis methods [29,30], 0-1 test [31,32], sample entropy, and permutation entropy [33]. Experimental tests show that 2D-SCLMS is a hyperchaotic system and has a wider chaotic range and better randomness.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Applicable Image Security Based on New Hyperchaotic System

et al. 2021

View full text Add to dashboard Cite

Hyperchaotic systems are widely applied in the cryptography domain on account of their more complex dynamical behavior. In view of this, the greatest contribution of this paper is that a two-dimensional Sine coupling Logistic modulated Sine (2D-SCLMS) system is proposed based on Logistic map and Sine map. By a series of analyses, including Lyapunov index (LE), 0–1 test, two complexity analysis methods, and two entropy analysis methods, it is concluded that the new 2D-SCLMS map is hyperchaotic with a wider range of chaos and more complex randomness. The new system combined with two-dimensional Logistic-Sine Coupling Mapping (2D-LSCM) is further applied to an image encryption application. SHA-384 is used to generate the initial values and parameters of the two chaotic systems. Symmetric keys are generated during this operation, which can be applied to the proposed image encryption and decryption algorithms. The encryption process and the decryption process of the new image encryption approaches mainly include pixel scrambling, exclusive NOR (Xnor), and diffusion operations. Multiple experiments illustrate that this scheme has higher security and lower time complexity.

show abstract

Section: Complexity Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Applicable Image Security Based on New Hyperchaotic System

et al. 2021

View full text Add to dashboard Cite

show abstract

“…In recent years, many chaotic image encryption algorithms are proposed [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. For example, Xu et al [8] designed a fast image encryption algorithm through hyperchaotic map.…”

Section: Introductionmentioning

confidence: 99%

“…Chai et al [11] designed an image encryption algorithm by memristor hyperchaotic system. Yang et al [12] introduced an image encryption scheme through complex chaotic system. Liu et al [13] researched a color image encryption scheme based on coupled hyperchaotic system.…”

Section: Introductionmentioning

confidence: 99%

A fractional-order CNN hyperchaotic system for image encryption algorithm

Wang

Yang

2021

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

This paper proposes a fractional-order cellular neural network (CNN) chaotic system for image encryption algorithm to explore the application of fractional-order CNN hyperchaotic system in chaotic secure communication. Firstly, a fractional-order CNN hyperchaotic system is defined based on CNN hyperchaotic system. The numerical solutions of the fractional-order CNN hyperchaotic system are calculated by Adomian decomposition algorithm. The dynamic characteristics of the of the fractional-order CNN hyperchaotic system are analyzed. Then to verify the image encryption application of the fractional-order CNN hyperchaotic system, we designed an image encryption scheme through fractional-order CNN hyperchaotic sequence, the principle of symmetry of main diagonal of matrix and XOR operation. Finally, the results illustrate that the fractional-order CNN hyperchaotic sequence has good randomness, which show that the fractional-order CNN hyperchaotic system more suitable for chaotic secure communication applications. The security performances of the algorithm show that the designed algorithm can effectively encrypt and decrypt image, and has better security performance.

show abstract

“…An image encryption scheme by high dimensional chaotic system is introduced by Tong et al [38]. Yang et al [39] designed an image encryption algorithm through complex chaotic system. On the base of hyperchatoic map and compression sensing, Xu et al [40] proposed an fast image compression and encryption scheme.…”

Section: Introductionmentioning

confidence: 99%

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

Zhang

Yang

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Dynamical Analysis of a Novel Complex Chaotic System and Application in Image Diffusion

Cited by 22 publications

References 45 publications

Applicable Image Security Based on New Hyperchaotic System

Applicable Image Security Based on New Hyperchaotic System

A fractional-order CNN hyperchaotic system for image encryption algorithm

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

Contact Info

Product

Resources

About