Results 11 to 20 of about 66,338 (262)
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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A New Measure of Quantum Starlike Functions Connected with Julia Functions
Journal of Function Spaces, 2022 In a complex domain, the investigation of the quantum differential subordinations for starlike functions is newly considered by few research studies. In this note, we arrange a set of necessary conditions utilizing the concept of the quantum differential
Samir B. Hadid +2 more
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Visualization of Mandelbrot and Julia Sets of Möbius Transformations
Fractal and Fractional, 2021 This work reports on a study of the Mandelbrot set and Julia set for a generalization of the well-explored function η(z)=z2+λ. The generalization consists of composing with a fixed Möbius transformation at each iteration step.
Leah K. Mork, Darin J. Ulness
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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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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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Adaptive Anti-Synchronization of Julia Sets in Generalized Alternated System
IEEE Access, 2020 In this article, the fractal behavior in generalized alternated system is discussed. Take the classical fractal set as an example, the anti-synchronization of the Julia set between two different generalized alternated systems is discussed using the ...
Pei Wang, Hui Zhang
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Consensus of Julia Sets of Potts Models on Diamond-Like Hierarchical Lattice
IEEE Access, 2022 The limit sets of zeros of the partition function for $\lambda $ -state Potts models on diamond-like hierarchical lattice are the Julia sets of functions in a family of rational functions. In this paper, the consensus problem of Julia sets generated by
Xiaoling Lu, Weihua Sun
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Control and synchronization of Julia sets of the complex dissipative standard system
Nonlinear Analysis, 2016 The fractal behaviors of the complex dissipative standard system are discussed in this paper. By using the boundedness of the forward and backward orbits, Julia set of the system is introduced and visualization of Julia set is also given.
Weihua Sun, Yongping Zhang
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Fractal Dynamics and Control of the Fractional Potts Model on Diamond-Like Hierarchical Lattices
Discrete Dynamics in Nature and Society, 2020 The fractional Potts model on diamond-like hierarchical lattices is introduced in this manuscript, which is a fractional rational system in the complex plane. Then, the fractal dynamics of this model is discussed from the fractal viewpoint.
Weihua Sun, Shutang Liu
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Buried points in Julia sets [PDF]
Journal of Difference Equations and Applications, 2010 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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