A Novel Five-Dimensional Three-Leaf Chaotic Attractor and Its Application in Image Encryption

Entropy

Minghui Wang¹  Tao Wang¹  Shiqiang Chen²  Zhiben Zhuang³  Liwen Song³ 

[1] College of Computer Science, Sichuan University, Chengdu 610000, China;School of Advanced Materials and Mechatronic Engineering, Hubei Mizu University, Enshi 445000, China;School of Science, Hubei Minzu University, Enshi 445000, China;

关键词: five-dimensional chaotic system;    digital image encryption;    proportional block;    convolution kernel;   

DOI  :  10.3390/e22020243

来源: DOAJ

【 摘 要 】

This paper presents a novel five-dimensional three-leaf chaotic attractor and its application in image encryption. First, a new five-dimensional three-leaf chaotic system is proposed. Some basic dynamics of the chaotic system were analyzed theoretically and numerically, such as the equilibrium point, dissipative, bifurcation diagram, plane phase diagram, and three-dimensional phase diagram. Simultaneously, an analog circuit was designed to implement the chaotic attractor. The circuit simulation experiment results were consistent with the numerical simulation experiment results. Second, a convolution kernel was used to process the five chaotic sequences, respectively, and the plaintext image matrix was divided according to the row and column proportions. Lastly, each of the divided plaintext images was scrambled with five chaotic sequences that were convolved to obtain the final encrypted image. The theoretical analysis and simulation results demonstrated that the key space of the algorithm was larger than 10¹⁵⁰ that had strong key sensitivity. It effectively resisted the attacks of statistical analysis and gray value analysis, and had a good encryption effect on the encryption of digital images.

【 授权许可】

Unknown