IMAGE ENCRYPTION USING RABINOVICH-FABRICANT SYSTEM AND STUDY ITS CHAOTIC BEHAVIOUR

Abstract

This paper explores the application of the Rabinovich-Fabrikant chaotic system in image encryption. By leveraging the system’s inherent chaotic properties and sensitivity to initial conditions, we develop a method for generating encryption keys and encrypting images. The proposed encryption process in volves permuting and substituting pixel values using sequences derived from the Rabinovich-Fabrikant system, ensuring the transformed image is unrecognizable. Decryption is achieved by regenerating the same chaotic sequences and applying inverse operations. The complexity and unpredictability of the chaotic system enhance security, providing robust protection against various attacks. This method demonstrates the potential of chaotic systems in enhancing the security of digital image encryption. This paper also investigates the master-slave synchronization of the Rabinovich-Fabrikant system, a well-known model in nonlinear dynamics that exhibits chaotic behavior. The Rabinovich-Fabrikant system is governed by a set of differential equations, designated as the master and the slave, with the objective of achieving synchronization despite the chaotic nature of their dynamics. The dynamical characteristics and properties are studied as well like fixed points, behaviour at fixed point, Lyapunov exponent, system dissipativity and conservative, poincare section and bifurcation diagrams.