A Novel Chaotic Map with High Chaotic Dynamics for Image Encryption Applications
Puneet Kumar Pal, Dhirendra Kumar · 2024
This article provides a novel chaotic map, termed a Sine $e \pi$ map, that deals with the problem of non-uniformity and lower Lyapunov exponents. In the Sine $e \pi$ map, transcendental functions are applied along with modulo operations, which physically represent discontinuous time-varying non-linearities. This results in extremely complex chaotic behaviour that is highly sensitive to initial conditions and control parameters, both of which are regarded as the keys to the cryptosystem. The Sine $e \pi$ map is examined through the phase diagram and Lyapunov exponent. Further, the Sine $e \pi$ map is used to develop an image encryption algorithm based on simultaneous confusion and diffusion. According to experiments and security simulations, the image encryption algorithm effectively encrypts images in less computational time while providing great protection against a variety of attacks such as brute-force, differential, statistical etc.