Julia Sets and Their Control of Discrete Fractional SIRS Models by Miao Ouyang, Yongping Zhang

“…It is of crucial significance to study infectious disease phenomenon by using the discrete SIRS model with the Caputo deltas sense and fractal viewpoint. In this paper, Julia set of the discrete fractional SIRS model is established to analyze the fractal dynamics of this model. …”
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Fractal Dimension Analysis of the Julia Sets of Controlled Brusselator Model by Yuqian Deng, Xiuxiong Liu, Yongping Zhang

“…Meanwhile, we calculate the box-counting dimension of the Julia set of controlled Brusselator model in each control method, which is used to describe the complexity of the controlled Julia set and the system. …”
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On escape criterion of an orbit with s-convexity and illustrations of the behavior shifts in Mandelbrot and Julia set fractals. by Khairul Habib Alam, Yumnam Rohen, Naeem Saleem, Maggie Aphane, Asima Razzaque

“…Moreover, we observe that the Julia set appears when we widen the Mandelbrot set at its petal edges, suggesting that each Mandelbrot set point contains a sizable quantity of Julia set picture data. …”
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On escape criterion of an orbit with s−convexity and illustrations of the behavior shifts in Mandelbrot and Julia set fractals by Khairul Habib Alam, Yumnam Rohen, Naeem Saleem, Maggie Aphane, Asima Razzaque

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On generation of Julia sets, Mandelbrot sets and biomorphs via a modification of the viscosity approximation method by Rimsha Babar, Wutiphol Sintunavarat

“…A novel method based on the viscosity approximation approach, one of the most popular iterative techniques for identifying non-linear operator fixed points, for visualizing Mandelbrot and Julia sets for a complex polynomial G(z)=zm+az+b, where z is a complex variable, m∈N∖{1} and a,b∈ℂ are parameters, is presented in this paper. …”
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An Effective Iterative Process Utilizing Transcendental Sine Functions for the Generation of Julia and Mandelbrot Sets by Khairul Habib Alam, Yumnam Rohen, Anita Tomar, Naeem Saleem, Maggie Aphane, Asima Razzaque

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A novel investigation of quaternion Julia and Mandelbrot sets using the viscosity iterative approach by Nabaraj Adhikari, Wutiphol Sintunavarat

Subjects: “…Quaternion Julia sets…”
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Fractal Dynamics and Control of the Fractional Potts Model on Diamond-Like Hierarchical Lattices by Weihua Sun, Shutang Liu

“…Then, the fractal dynamics of this model is discussed from the fractal viewpoint. Julia set of the fractional Potts model is given, and control items of this fractional model are designed to control the Julia set. …”
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A Numerical Investigation on the Structure of the Zeros of Euler Polynomials by C. S. Ryoo, J. Y. Kang

“…Finally, we show the Julia set of Newton iteration function R(x)=x-En(x)/En′(x).…”
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Fractal Control and Synchronization of the Discrete Fractional SIRS Model by Miao Ouyang, Yongping Zhang, Jian Liu

“…And new proofs about the synchronization of Julia sets are given. The complexity and irregularity of Julia sets can be seen from the figures, and the correctness of the theoretical analysis is exhibited by the simulation results.…”
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Fractal Newton basins by M. L. Sahari, I. Djellit

“…The main interest in this work is to focus on the Julia sets in the dynamical plane, and then is consecrated to the study of several topics in more detail. …”
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Fractal Newton basins

“…The main interest in this work is to focus on the Julia sets in the dynamical plane, and then is consecrated to the study of several topics in more detail. …”
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