Design And Application Of Image Encryption Algorithm Based On Memristive Chaotic System

The development of the Internet promotes the progress of society.Massive amounts of information are transmitted on the network every day,making people’s life more convenient and at the same time there is a risk of information leakage.The content of digital images is intuitive and diverse,and is an important information carrier.In order to ensure the security of information,the encryption protection of image information has always been an important research direction in the field of information security.The chaotic system has become a research hotspot since it was proposed,and it promotes and develops with other disciplines.Memristor is a nonlinear element.By introducing memristor into a chaotic system,it is beneficial to generate high-complexity and high-random chaotic signals required for secure communication and image encryption,and improve efficiency and security in applications.Up to now,most of the research on memristive chaotic system is based on binary-valued memristors and continuous memristors.However,previous studies have shown that tri-valued memristors have richer nonlinear characteristics.Applying them to the construction of memristive chaotic systems is conducive to obtaining new chaotic systems with richer dynamic characteristics.Therefore,it is of great significance to construct different types of chaotic systems based on binary-valued and tri-valued memristors,study the differences in their dynamic characteristics,and further study the application of the constructed chaotic systems in the field of image encryption.The remain research content of this article is as follows:(1)The binary-valued memristor and tri-valued memristor are introduced into Chen system,and the four-dimensional binary-valued memristive chaotic system and tri-valued memristor chaotic system are constructed respectively.Through qualitative and quantitative analysis of the two chaotic systems,it is concluded that the chaotic system based on binary-valued memristor only has chaotic characteristics,while the chaotic system based on tri-valued memristor has hyper-chaotic characteristics.Further,through the analysis of dissipation,equilibrium point and stability,initial value sensitivity,transient chaos phenomenon in the system and system complexity,the performance differences of binary-valued and tri-valued memristor chaotic systems in dynamic characteristics are summarized,which provides the basis for the study of multi-valued memristive chaotic systems(2)Based on tri-valued memristive hyper-chaotic system,a new image encryption algorithm is proposed.This encryption method is based on the classic displacement-diffusion structure,uses the improved three-dimensional Arnold operation and the slot matrix to scramble the image pixels,and uses the Joseph ring method to combine the chaotic sequence with the image data to generate the index sequence to diffuse the image.Finally,the security and effectiveness of the encryption algorithm are analyzed through a series of experiments.(3)Based on image encryption algorithm,two kinds of hyper-chatic image encryption software are designed: image encryption We Chat Mini Program and SPA image encryption software.Among them,the former is developed based on the We Chat developer platform.Users can manage their login information through the official permissions,and use the cloud service function to upload or download files in local memory and cloud storage space;The latter is developed based on Vue framework,and a login module is designed for users to authenticate,which can also greatly guarantee the information security of users.Both encryption software are designed with human-computer interface to complete the reading,encryption and decryption of local images.