@article{MAKHILLJEAS2019141117884,
    title = {A Parallel Programming for Robust Chaotic Map Generation Based on
Two Dimensional Equation System},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {14},
    number = {11},
    pages = {3741-3745},
    year = {2019},
    issn = {1816-949x},
    doi = {jeasci.2019.3741.3745},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.3741.3745},
    author = {Khalid Ali and},
    keywords = {Chaotic map,parallel programming,Lyapunov exponents,MATLAB,implementation,performance},
    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
abundant 2D chaotic maps with expansive chaotic ranges and chaotic manner. The validated chaotic behavior
of the proposed system was investigated using maximum Lyapunov exponents, Kaplan-Yorke dimension, phase
portraits and sensitivity to initial condition. Furthermore, 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 computing library offered by MATLAB equips highly performance than the
pipeline ones and would be helpful to utilize in image encryption/decryption with large size.}
    }