Image encryption based on Henon chaotic system with nonlinear term

Henon chaotic system is a kind of classical chaotic system which is widely studied and applied. However, when we analyze its chaotic characteristics, we can still find some shortcomings. In this paper, a Henon chaotic system with nonlinear terms is proposed and applied to image encryption. Our scheme first modifies the linear term y(n) of the original Henon chaotic system to the nonlinear term e(y(n)), and then obtains the new Henon chaotic system. Then, a series of methods such as bifurcation graph, Lyapunov exponent, linear complexity, histogram, balance, run characteristics and NIST test were used to verify the performance improvement of the new Henon chaotic system. And then, the random sequences generated by the new Henon chaotic system are combined with the image encryption algorithm to complete the image encryption through three steps: global confusion, bit recombination and pixel value diffusion. Finally, the security of the encryption algorithm is verified by secret key space analysis, anti-statistical attack analysis, anti-differential attack analysis, anti-shearing and noise attack analysis. In this paper, the improvement of Henon chaotic system and the design of encryption algorithm all have achieved good results.