A 3D discrete memristive chaotic map and its application in image encryption

Abstract

In recent years, researchers proposed many discrete memristive models. And the performance of chaotic map can be improved by using discrete memristor. In this paper, a kind of discrete chaotic map is studied. First, the map is cascaded with memristor to generate a new discrete memristor chaotic map. The dynamic behavior of discrete memristor chaotic map is analyzed. Numerical simulations demonstrate that the proposed map has complex dynamics, like hyperchaos and coexisting attractors. Then, based on the proposed memristive map and DNA coding, an image encryption algorithm is designed and its security and robustness are analyzed. Experimental results show that the algorithm can effectively resist plaintext attacks and has good robustness.