Dynamic analysis of fractional-order six-order discrete chaotic mapping and its application in information security

In this paper, we first generalize the six-order discrete chaotic mapping (SODCM) into fractional one. Then, we observe the chaotic behavior of fractional SODCM and analyze its maximum Lyapunov exponent, trajectory and bifurcation diagram. Next, the new digit image encryption method using fractional SODCM is developed for information security. Additionally, we verify the image encryption effect in several aspects, such as key space, statistics attack analysis, differential attack analysis, known-plaintext attack analysis and chosen-plaintext attack analysis, randomness test and aspect of hardware realization. Finally, it is shown that the performance of the proposed algorithm in this paper is better than several existing algorithms in almost all fields after comparison as a conclusion.