Study On The Dynamic Characteristics Of Fractional Order Chaotic Systems And The Application Of FPGA Encryption

Fractional order chaos is a system of great complexity,which is not only related to the nonlinearity of its system equations,but also to fractional order size.It is complexity that makes it a very important research direction for information security and secure communication.The design of electronic systems based on programmable devices is simple,short cycle,reprogrammable,making the design cost reduction,flexibility and versatility.In this paper,the theory of fractional order chaos system is first analyzed,and two three-dimensional fractional order chaotic systems are constructed.Then the dynamic characteristics of fractional order chaos system are deeply analyzed.The circuit of the chaotic system is realized by FPGA digital chip.The image encryption method based on fractional order chaos is designed,and it is successfully realized to encrypt video on FPGA hardware platform.The main work of this paper is as follows:(1)Firstly,the basic concepts and historical background of fractional calculus are introduced.Then the dynamic characteristics of fractional order Liu system and fractional four-wing chaotic system are analyzed from attractor phase diagram,Lyapunov exponent diagram and bifurcation diagram.Finally,through the topological horseshoe analysis,the two systems are strictly proved.(2)Two fractional-order chaotic systems are realized by using Altera's Cyclone IV series FPGA development board,which the hardware implemntation provides a reference model for the study of other fractional-order chaotic systems.(3)The method of fractional-order chaotic image encryption is researched and the video is encrypted.The FPGA video encryption system is developed by using Quartus II 15.0development environment,and the encrypted video is successfully displayed on the LCD screen.