The effect of multi-scrolls distribution on image encryption

Abstract

This paper introduces the mathematical formulation of a ID digital control multi-scroll chaotic jerk system. The eigenvalue analysis of such systems is presented and validated through different numerical examples. A generalized 2D multi-scrolls chaotic system is also presented with numerical examples. As an application, these ID and 2D chaotic systems are used in a simple encryption technique. Two different cases from each ID and 2D multi-scrolls, having a total of 12 scrolls under the same initial conditions, are utilized as a random source after postprocessing. Correlation coefficients, differential attack measures and histograms are used to evaluate the encrypted images as well as the effect of the used nonlinear block.