Application Research Of Hyperchaotic System Based On Multi-entropy Memristor

With the in-depth development of the computer age,information security issues caused by various information transmission processes have increasingly attracted the attention of society and researchers.In a sense,the security of the pseudo-random number generator determines the security of the entire security system.Digital image is an important carrier of information.To ensure the security of digital image information,image encryption is the most direct and effective method.Chaotic systems have complex dynamics,and memristive hyperchaotic systems lead to the expansion of chaos or hyperchaos.The dynamics characteristics are more complex than general chaotic systems,and the hyperchaotic signals generated by it are more suitable for engineering applications.As two typical engineering applications of chaotic systems,this thesis studies pseudo-random number generators and image encryption based on multi-entropy memristor hyperchaotic systems.The specific work is as follows:(1)A pseudo-random number generator with multi entropy source structure is proposed based on three kinds of high-dimensional four wing memristor hyperchaotic systems with different dimensions.The main feature of the system is that the four wing memristor hyperchaotic systems with four,five and six dimensions are used to discretize the three continuous chaotic systems into real valued sequences.In order to make the distribution of the generated random number more uniform,the equal probability XOR quantization operation is carried out,and the pseudo-random number with good randomness is obtained.From the perspective of cryptography,the security of the pseudo random number generator based on this scheme is analyzed,and the simulation experiment is carried out by using MATLAB programming,and then compared with other classical chaotic pseudo-random number generator schemes,showing the advantages.In addition,the pseudo-random number generator has passed the statistical test of SP800-22 provided by the National Institute of Standards and Technology(NIST).It shows that the pseudo-random number generator of the proposed scheme has good characteristics of difference and regularity,and has potential research value in the field of cryptography with strict security requirements.(2)The six dimensional memristor hyperchaotic system and two-dimensional sinusoidal feedback modulation hyperchaotic map are proposed as the dual entropy source structure,and a new pseudo-random number generator meeting the security requirements is realized.The main advantage is that it combines two different chaotic systems-continuous high-dimensional hyperchaotic system and discrete chaotic map,and generates several random sequences,which pass the NIST SP800-22 statistical test.MATLAB simulation and statistical experiments show that the generated random sequence has good randomness and security.(3)An image encryption scheme based on six dimensional memristor hyperchaotic system and two dimensional discrete sinusoidal feedback modulation hyperchaotic map is designed.Diffusion Ⅰ-Scrambling-Diffusion Ⅱ image encryption scheme are realized by MATLAB programming,and the original plaintext image is successfully transformed into cipher-text image.Finally,the feasibility of the encryption scheme is analyzed and compared with other encryption schemes.The results show that the proposed scheme has certain advantages in superiority and security.