Work

Fractals as Julia Sets of Complex Sine Function via Fixed Point Iterations

Year: 2021

Type: article

Abstract: We explore some new variants of the Julia set by developing the escape criteria for a function sin(zn)+az+c, where a,c∈C, n≥2, and z is a complex variable, utilizing four distinct fixed point iterative methods. Furthermore, we examine the impact of parameters on the deviation of dynamics, color, and appearance of fractals. Some of these fractals represent the stunning art on glass, and Rangoli (made in different parts of India, especially during the festive season) which are useful in interior decoration. Some fractals are similar to beautiful objects found in our surroundings like flowers (to be specific Hibiscus and Catharanthus Roseus), and ants.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract5040272

Authors: Swati Antal, Anita Tomar, Darshana J. Prajapati, Mohammad Sajid

Institutions: Hemwati Nandan Bahuguna Garhwal University, Sri Dev Suman Uttarakhand University, Qassim University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,728

OpenAlex ID: W4200325250

FWCI: 4.265

Cites: 27

Cited by: 33

Related to: 10