Image Encryption Algorithm For New Four-dimensional Hyperchaotic System

With the rapid development of the Internet,making the security of information transmission is becoming increasingly important,especially as the information carrier security of the information security.In the field of image encryption,the current research focuses on the Color Image Encryption Algorithm Based on Hyperchaotic System.How to securely encryption the image and effectively resisit external attacks is important for protecting personal privacy and state secrets.In this paper,through constructing a new four-dimensional hyperchaotic system and integrating of chaos' s unique dynamic characteristics and cryptography,which is applied to color image encryption.Based on the existing theoretical knowledge,the derivation process of image encryption algorithm based on new four-dimensional hyperchaotic system is given and the simulation is carried out.Firstly,designing a new hyperchaotic system and analyzing the dynamic characteristics of the system.Constructing the four-dimensional hyperchaotic system model is based on the three-dimensional chaotic system.Through analyzing the new system's balance points,attractor movement trajectory,Lyapunov exponents and the range of parameters in Hyperchaotic State can the chaotic characteristics of four-dimensional hyperchaotic system be verified by both theoretical and practical simulations.Secondly,a new digital method is designed for the limitation of the existing chaotic output sequence preprocessing method.This method can obtain a long output chaotic sequence,which improves the shortcoming of finite precision limit.In this paper,the performance of the binarization sequence is verified by comparing the correlation of the chaotic output sequence and checking whether the sequence spectrum has the center frequency.The runaway test proves that the chaotic sequence satisfies the basic attributes of the encryption key.Finally,two image encryption algorithms based on the new four-dimensional hyperchaotic system are designed,namely the image processing algorithm of pixel andthe image encryption algorithm based on discrete Hopfiled neural network.Through the experimental simulation,two kinds of image encryption algorithms are compared and analyzed.The statistical characteristics,anti-noise performance and key space of the two algorithms are analyzed,and their advantages are given.The algorithm has the advantages of good encryption performance,larger key space and strong robustness.