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On Writing for Young People Conference 2023, Keynote Speech
A full transcript of Prof Emerita Julia Green’s keynote speech at the Leaf Journal’s ‘On Writing Conference 2023’. Julia sets out the origins of the discipline of Creative Writing for Young People at Bath Spa University and beyond.
Julia Green
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Fractal Control and Synchronization of the Discrete Fractional SIRS Model
SIRS model is one of the most basic models in the dynamic warehouse model of infectious diseases, which describes the temporary immunity after cure. The discrete SIRS models with the Caputo deltas sense and the theories of fractional calculus and fractal
Miao Ouyang, Yongping Zhang, Jian Liu
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Julia sets as buried Julia components
Let f f be a rational map with degree d ≥ 2 d\geq 2 whose Julia set is connected but not equal to the whole Riemann sphere. It is proved that there exists a rational map g g such that g g contains a buried Julia component on which the dynamics is ...
Wang, Youming, Yang, Fei
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Fractal Generation via CR Iteration Scheme With S-Convexity
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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Fuzzy Julia Sets and Fuzzy Superior Julia Sets
This article examine the past study of fuzzy Mandelbrot set and fuzzy superior Mandelbrot set, then give the definition of fuzzy Julia sets and fuzzy superior Julia sets with the idea of utilizing membership functions to represent the escape velocity of Julia sets or superior Julia sets of each complex number in the definition of fuzzy Mandelbrot set ...
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Buried points in Julia sets [PDF]
We give an introduction to buried points in Julia sets and a list of questions about buried points, written to encourage aficionados of topology and dynamics to work on these questions.
Curry, Clinton P., Mayer, John C.
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In this paper, we mainly investigate the radial distribution of Julia sets of difference operators of entire solutions of complex differential equation $ F(z)f^{n}(z)+P(z, f) = 0 $, where $ F(z) $ is a transcendental entire function and $ P(z, f) $ is a ...
Jingjing Li, Zhigang Huang
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The Inverse Iteration Method for Julia Sets in the 3-Dimensional Space [PDF]
In this article, we introduce the adapted inverse iteration method to generate bicomplex Julia sets associated to the polynomial map $w^2+c$. The result is based on a full characterization of bicomplex Julia sets as the boundary of a particular bicomplex
Matteau, C., Rochon, D.
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Limit Directions of Julia Sets of Entire Functions and Complex Differential Equations
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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The proposed article describes the methodology for performing a multi-stage mathematical-informational task "Newton's Method for Complex Polynomials", aimed at developing the creative qualities of students.
Valeriy S. Sekovanov +4 more
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