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. …”
Get full text

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. …”
Get full text

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

Subjects: Get full text

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

Subjects: “…Quaternion Julia sets…”
Get full text

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. …”
Get full text

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).…”
Get full text

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.…”
Get full text

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. …”
Get full text

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. …”
Get full text