Performance evaluation of modified henon map in image encryption

Abstract

The dynamic properties of chaos based algorithm such as large key space, high sensitivity to initial conditions/system parameters, erratic behavior, ergodicity and simplicity make it a novel and an efficient way of evolving chaotic maps that can meet the security requirements. They also exhibit broad array of chaotic regime over a range that can be further enhanced by modifying these maps. In this paper, Henon chaotic map is modified and dynamic behavior of this map is being analyzed through Bifurcation diagram and Lyapunov exponent. The simulation results illustrate that the map has a chaotic regime over an extensive range of system parameters. One of the cryptographic applications of this map in image encryption for different test images is considered. Further, the encryption capability of the algorithm is verified through security analysis.