Results 11 to 20 of about 35,005 (228)
Fractals as Julia Sets of Complex Sine Function via Fixed Point Iterations
Fractal and Fractional, 2021 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.
Swati Antal +3 more
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AIMS Mathematics, 2022 In this paper, we generate some non-classical variants of Julia and Mandelbrot sets, utilizing the Jungck-Ishikawa fixed point iteration system equipped with $ s $-convexity.
Swati Antal +3 more
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Mandelbrot and Julia Sets of Transcendental Functions Using Picard–Thakur Iteration
Fractal and Fractional, 2023 The majority of fractals’ dynamical behavior is determined by escape criteria, which utilize various iterative procedures. In the context of the Julia and Mandelbrot sets, the concept of “escape” is a fundamental principle used to determine whether a ...
Ashish Bhoria +2 more
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Mathematics, 2020 Biomorphs are graphic objects with very interesting shapes resembling unicellular and microbial organisms such as bacteria. They have applications in different fields like medical science, art, painting, engineering and the textile industry.
Lateef Olakunle Jolaoso +1 more
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A particle swarm optimization algorithm based on an improved deb criterion for constrained optimization problems [PDF]
PeerJ Computer Science, 2022 To solve the nonlinear constrained optimization problem, a particle swarm optimization algorithm based on the improved Deb criterion (CPSO) is proposed. Based on the Deb criterion, the algorithm retains the information of ‘excellent’ infeasible solutions.
Ying Sun, Wanyuan Shi, Yuelin Gao
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Generation of Antifractals via Hybrid Picard-Mann Iteration
IEEE Access, 2020 The aim of this paper is to generate antifractals using fixed point iterative algorithms, i.e., we aim to generate anti Julia sets, tricorns and multicorns for the anti-polynomial z → z̅k +c of the complex polynomial zk +c, for k ≥ 2.
Wei Wang +3 more
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Multicorn Sets of
Fractal and Fractional, 2023 Fractals represent important features of our natural environment, and therefore, several scientific fields have recently begun using fractals that employ fixed-point theory. While many researchers are working on fractals (i.e., Mandelbrot and Julia sets),
Asifa Tassaddiq +5 more
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Mandelbrot Sets and Julia Sets in Picard-Mann Orbit
IEEE Access, 2020 The purpose of this paper is to introduce the Mandelbrot and Julia sets by using Picard-Mann iteration procedure. Escape criteria is established which plays an important role to generate Mandelbrot and Julia sets.
Cui Zou +4 more
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Fractal Generation via CR Iteration Scheme With S-Convexity
IEEE Access, 2019 The visual beauty, self-similarity, and complexity of Mandelbrot sets and Julia sets have made an attractive field of research. One can find many generalizations of these sets in the literature.
Young Chel Kwun +4 more
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