The study of a new hyperchaotic system and its application in image encryption

This paper aims to improve the safety of chaotic image encryption algorithm. To achieve this goal, a new hyperchaotic system was put forward, and its nonlinear dynamics performance was analyzed to prove its excellent chaotic characteristics, including its Lyapunov exponents, phase diagram, bifurcation diagram and so on. The hyperchaotic system was applied to an image encryption algorithm, forming a hyperchaotic image encryption algorithm. A performance analysis was conducted on the algorithm, including key space analysis and efficiency analysis, key sensitivity, correlation analysis between adjacent pixels, and gray histogram analysis. The algorithm was also compared with other chaotic image encryption algorithms. Theoretical analysis and simulation results showed that the improved algorithm is not only able to resist the chosen plaintext attack, but can also obtain better cryptographic properties.