A Parallel Programming for Robust Chaotic Map Generation Based on Two Dimensional Equation System

Abstract

In the last two decades, cryptography systems based on chaos methods have been developed due to the interesting shared properties between cryptography and chaos systems such as sensitivity to the initial conditions along with the effects of confusion, diffusion techniques. In this study, a seven term new two Dimensional (2D) chaotic system based on two quadratic nonlinear equations has been derived and analyzed. The experimental results and performance evaluations exhibit that the proposed system is capable to generate ablllldant 2D chaotic maps with expansive chaotic ranges and chaotic manner. The validated chaotic behavior ofthe proposed system was investigated using maximlllll Lyapllllov exponents, Kaplan-Yorke dimension, phase portraits and sensitivity to initial condition. Fw1:hermore, the generation of chaotic random sequences can be accomplished simultaneously with parallel manner based on two threads which reinforce the speedup performance of the proposed chaotic map generation algorithm. The parallel implementation of the proposed chaotic system using parallel computiug library offered by MATLAB equips highly performance than the pipeline ones and would be helpful to utilize in image encryption/decryption with large size.