• Krimpenis Agathoklis
• Krimpeni Asimina

Fractals can derive from the application of the complex Newton-Raphson method for solving nonlinear equations. The iterative “nature” of the method yields two main sets: convergence and divergence sets. The chaotic Julia set consists of the topological boundary of these two sets. In the present work, it is proven that the dynamical system of the Julia set and its complex Newton-Raphson transformation is, in fact, a chaotic dynamical system. An iterative algorithmic approach that helps obtain and represent graphically the Julia set is then presented.

Complex Newton-Rapshon, Julia set, fractal, chaotic dynamical system, code space, shift dynamical system

"An algorithmic approach for defining Julia set structure using the complex Newton-Raphson method", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.65-69, June-2019, Available :http://www.jetir.org/papers/JETIR1906F16.pdf

"An algorithmic approach for defining Julia set structure using the complex Newton-Raphson method", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp65-69, June-2019, Available at : http://www.jetir.org/papers/JETIR1906F16.pdf