Results 21 to 30 of about 66,338 (262)
A study of a meromorphic perturbation of the sine family
Demonstratio Mathematica, 2022 We study the dynamics of a meromorphic perturbation of the family λsinz\lambda \sin z by adding a pole at zero and a parameter μ\mu , that is, fλ,μ(z)=λsinz+μ/z{f}_{\lambda ,\mu }\left(z)=\lambda \sin z+\mu \hspace{-0.08em}\text{/}\hspace{-0.08em}z ...
Domínguez Patricia, Vázquez Josué
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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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Limit Directions of Julia Sets of Entire Functions and Complex Differential Equations
Journal of Mathematics, 2023 The limiting directions of Julia sets of infinite order entire functions are studied by combining the theory of complex dynamic system and the theory of complex differential equations, in which the lower bound of the measure of limiting direction of ...
Zhigao Qin, Jianren Long, Xuxu Xiang
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Julia sets as buried Julia components
Transactions of the American Mathematical Society, 2020 Let f f be a rational map with degree
Wang, Youming, Yang, Fei
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Fractal and Fractional, 2022 In this research, we look at the Julia set patterns that are linked to the entire transcendental function f(z)=aezn+bz+c, where a,b,c∈C and n≥2, using the Mann iterative scheme, and discuss their dynamical behavior.
Darshana J. Prajapati +4 more
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The Study Geometry Fractals Designed on Batik Motives
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2019 This research was conducted to gain some patterns of fractals Julia set and Seirpinski that applied on Batik then creating Batik that has many varied motives and multifaceted. There are three steps in formulating the patterns of fractals of Julia set and
Juhari Juhari
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Singular Perturbations of Multibrot Set Polynomials
Universal Journal of Mathematics and Applications, 2022 We will give a complete description of the dynamics of the rational map $N_{F_{M_c}}(z)=\frac{3z^4-2z^3+c}{4z^3-3z^2+c}$ where c is a complex parameter. These are rational maps $N_{F_{M_c}}$ arising from Newton's method.
Figen Çilingir
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Fractal Dimension Analysis of the Julia Sets of Controlled Brusselator Model
Discrete Dynamics in Nature and Society, 2016 Fractal theory is a branch of nonlinear scientific research, and its research object is the irregular geometric form in nature. On account of the complexity of the fractal set, the traditional Euclidean dimension is no longer applicable and the ...
Yuqian Deng +2 more
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On the Fractional-Order Complex Cosine Map: Fractal Analysis, Julia Set Control and Synchronization
Mathematics, 2023 In this paper, we introduce a generalized complex discrete fractional-order cosine map. Dynamical analysis of the proposed complex fractional order map is examined. The existence and stability characteristics of the map’s fixed points are explored.
A. A. Elsadany +3 more
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Fractal and Fractional, 2021 In this paper, a novel escape-time algorithm is proposed to calculate the connectivity’s degree of Julia sets generated from polynomial maps. The proposed algorithm contains both quantitative analysis and visual display to measure the connectivity of ...
Yang Zhao +3 more
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