Symmetrial Design Of Memristive Chaotic System And Its Application In Image Encryption

With the development of information technology,various information security accidents are arising frequently.Therefore,the requirement of information transmission is higher and higher,especially for the security of communication system.As an important medium of information transmission between human,image also needs to be encrypted in some engineering applications.Chaos has a complex nonlinear dynamic behavior,and it also a research trend in the field of encryption with its features.Chaotic systems can get more complexity by the introduction of memristor,and new systems will be widely used in the field of secure communication and image encryption.Futhermore,as a common case of chaotic system,multistability can provide more chances in engineering applications.Therefore,through this paper,the symmetric modelling of memristor chaotic system is carried out,and the multistable behavior of different types of memristor chaotic system is explored,and its application in image encryption is mentioned.The main work done in this paper includes:Firstly,the method of attractor symmetrization for memristive chaotic system is proposed,and coexisting attractors and pseudo-mutiscroll attractor are found.By simulating the phase orbit,Lyapunov exponent spectrum,bifurcation diagram and probability distribution of the system,the dynamic analysis of the system is carried out,and the reliability of the system symmetry method is verified.With the result of the influence of offset-boostable parameters in the system,it is found that the method can generate a single pseudo scroll system under certain conditions.Meanwhile,it is verified that the method can realize the doubling of system attractors in any dimension.Secondly,a conditional symmetric memristive chaotic system is constructed,and its coexisting attractors and offset boosting arestudied.Two different types of conditional symmetric systems are proposed,by simulating the phase orbit,Lyapunov exponent spectrum and bifurcation diagram of the system,the dynamic analysis of the system is carried out carefully.After studying the parameters of the system,it is found that the system has the characteristics of offset-boostable control and partial amplitude control,especially one parameter of the memristive system can control the one-dimensional symmetry surface of theconditional symmetry.The simulation software PSpice is used to simulate the memristive system and memristor,and the expected experimental results are obtained.Finally,the application of symmetric and conditional symmetric memristive chaotic system in image encryption is explored.The principle of DNA coding and the process of encryption are described.The encryption result of the two systems and the influence of multistability on encryption are discussed by giving the data of key sensitivity,histogram analysis,information entropy analysis and correlation analysis.