Results 21 to 30 of about 29,416 (289)
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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Julia Sets of Orthogonal Polynomials [PDF]
Potential Analysis, 2018 14 pages, 1 ...
Jacob Stordal Christiansen +3 more
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A Four Step Feedback Iteration and Its Applications in Fractals
Fractal and Fractional, 2022 Fractals play a vital role in modeling the natural environment. The present aim is to investigate the escape criterion to generate specific fractals such as Julia sets, Mandelbrot sets and Multi-corns via F-iteration using complex functions h(z)=zn+c, h ...
Asifa Tassaddiq +4 more
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Fuzzy Julia Sets and Fuzzy Superior Julia Sets
Highlights in Science, Engineering and Technology, 2023 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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Julia sets and wild Cantor sets [PDF]
Geometriae Dedicata, 2014 There exist uniformly quasiregular maps $f:\mathbb{R}^3 \to \mathbb{R}^3$ whose Julia sets are wild Cantor sets.
Fletcher, Alastair, Wu, Jang-Mei
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On Writing for Young People Conference 2023, Keynote Speech
Leaf Journal, 2023 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
Complexity, 2020 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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Rational maps with real multipliers [PDF]
, 2009 Let f be a rational function such that the multipliers of all repelling periodic points are real. We prove that the Julia set of such a function belongs to a circle. Combining this with a result of Fatou we conclude that whenever J(f) belongs to a smooth
Eremenko, A +5 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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The Mandelbrot set is the shadow of a Julia set
Discrete and Continuous Dynamical Systems, 2020 Working within the polynomial quadratic family, we introduce a new point of view on bifurcations which naturally allows to see the seat of bifurcations as the projection of a Julia set of a complex dynamical system in dimension three. We expect our approach to be extendable to other holomorphic families of dynamical systems.
Berteloot, François, Dinh, Tien-Cuong
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