Application Of Six-Dimensional Fractional Order Hyperchaotic System In Color Image Encryption

On a certain system of chaos is the random motion of the state of the description,its features are: uncertainty of system model,the stability of the attractor,system movement state of randomness and extreme sensitivity to initial value.Because the chaotic characteristic of the hyperchaotic system is stronger than the general chaotic system,it is more suitable to represent the physical characteristics of the system,and it is more suitable for the encryption of information.In this paper,a six-dimensional fractional order hyperchaotic system is constructed,and its dynamic behavior is analyzed,the system oscillation circuit is constructed,and the system is analyzed and studied in a comprehensive way.Using the combination of theoretical analysis,numerical simulation and circuit simulation method for the design of fractional order chaotic systems,image encryption,with high resolution color image as the research object,adopt the method of mathematical analysis and simulation test research system,color image encryption to decrypt in Matlab software testing,and use the histogram,the histogram,key space,correlation between adjacent pixels,histogram these indicators to verify the effectiveness of the encryption process,the main work is as follows:Firstly,a six-dimensional mathematical model is constructed to verify the system's super-chaotic characteristics,and analyze the system dissipation,equilibrium,Lyapunov exponent,fractal dimension and poincalais section.The system is simulated with Matlab software,and the system's two-dimensional,three-dimensional phase diagram and time-domain map are obtained,and the superchaotic characteristics of the system are further verified.Second,according to the circuit theory,USES the modular design ideas to design 6 d fractional hyperchaos system of analog circuits,and circuit simulation software simulationsystem of two phase plan and the time domain waveform figure,by the consistency of Multisim circuit simulation with Matlab numerical simulation prove the existence of hyperchaos characteristic of system.Finally,in the classic scrambling-diffusion algorithm based on structure design based on the six dimensions of fractional hyperchaos system of color image encryption algorithm,the algorithm for six d fractional hyperchaos system as a pseudo-random sequence generated source to generate pseudo random sequences.The encryption and decryption test was performed using the key,and the security performance of the image was analyzed through key space,key sensitivity,histogram and adjacent pixel correlation.The result shows that the algorithm has good encryption effect and small time cost.