CR Iteration in Generation of Antifractals With s-Convexity

oleh: Dong Li, Abdul Aziz Shahid, Asifa Tassaddiq, Arshad Khan, Xiaorui Guo, Maqbool Ahmad

Format: Article
Diterbitkan: IEEE 2020-01-01

Deskripsi

Complex graphics of nonlinear dynamical systems perform vital role in many fields, e.g., image compression or encryption, art, science, and so on. Antifractals are generated by applying a map recursively to an initial point in complex plane that have become a significant area of research these days. The purpose of this paper is to investigate the dynamics of antifractals like anti-Julia sets, tricornsand multicorns of antiholomorphic polynomials via CR iteration scheme with s-convexity. Many beautiful aesthetic patterns are visualized for antipolynomial z &#x2192; z<sup>m</sup> + c of complex polynomial z<sup>m</sup> + c, for m &#x2265; 2 to explore the geometry of antifractals.