CR Iteration in Generation of Antifractals With s-Convexity

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....

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Bibliographic Details
Main Authors: Dong Li, Abdul Aziz Shahid, Asifa Tassaddiq, Arshad Khan, Xiaorui Guo, Maqbool Ahmad
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9048129/
Description
Summary: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.
ISSN:2169-3536