Results 31 to 40 of about 1,561 (174)
Escape Criteria for Generating Fractals of Complex Functions Using DK-Iterative Scheme
Fractal and Fractional, 2023 Fractals are essential in representing the natural environment due to their important characteristic of self similarity. The dynamical behavior of fractals mostly depends on escape criteria using different iterative techniques.
Asifa Tassaddiq +4 more
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MPI vs OpenMP: A case study on parallel generation of Mandelbrot set
Innovación y Software, 2020 Nowadays, some of the most popular tools for parallel programming are Message Passing Interface and Open Multi-Processing. It is of interest to compare these tools in solving the same kind of problems, because of the use of different ...
Ernesto Soto Gómez
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Fractal and Fractional, 2021 In 2021, Mork and Ulness studied the Mandelbrot and Julia sets for a generalization of the well-explored function ηλ(z)=z2+λ. Their generalization was based on the composition of ηλ with the Möbius transformation μ(z)=1z at each iteration step ...
Pavel Trojovský, K Venkatachalam
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Fractal and Fractional, 2022 We introduce several q-differential equations of higher order which are related to q-Bernoulli polynomials and obtain a symmetric property of q-differential equations of higher order in this paper. By giving q-varying variations, we identify the shape of
Cheon-Seoung Ryoo, Jung-Yoog Kang
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Современные информационные технологии и IT-образованиеThe article deals with issues from the field of nonlinear dynamics, in particular, such a section of it as holomorphic dynamics. We believe that the Mandelbrot set and the Julia set are important objects of holomorphic dynamics research.
Valeriy Sekovanov +3 more
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The Symmetry in the Noise-Perturbed Mandelbrot Set [PDF]
Symmetry, 2019 This paper investigates the destruction of the symmetrical structure of the noise-perturbed Mandelbrot set (M-set). By applying the “symmetry criterion” method, we quantitatively compare the damages to the symmetry of the noise-perturbed Mandelbrot set resulting from additive and multiplicative noises.
Sun, Tianwen, Wang, Da
openaire +3 more sources
Journal of Plant Nutrition and Soil Science, EarlyView.We provide a historic overview of microscopic soil structure characterization from its founding father, Walter Kubiëna, to several technical revolutions like automation, digitalization, and artificial intelligence. In addition to technical advancements, we explore how concepts and research questions have evolved in time.
Steffen Schlüter +3 more
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Application of the Fractal Geometry in Development Surya Majapahit Batik Motif
JTAM (Jurnal Teori dan Aplikasi Matematika)The Mandelbrot and Julia sets are generated through iterative mathematical functions applied to points in the complex plane. These operations enable the detailed and intricate patterns characteristic of these fractals, allowing for modifications and ...
Juhari Juhari +1 more
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Information‐Theoretic Approach to Financial Market Modeling
Mathematical Finance, EarlyView.ABSTRACT The paper treats the financial market as a communication system, using four information‐theoretic assumptions to derive an idealized model with only one parameter. State variables are scalar stationary diffusions. The model maximizes the surprisal of the market and minimizes the Kullback–Leibler divergence between the benchmark‐neutral pricing
Eckhard Platen
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Equivalence between subshrubs and chaotic bands in the Mandelbrot set
Discrete Dynamics in Nature and Society, 2006 We study in depth the equivalence between subshrubs and chaotic bands in the Mandelbrot set. In order to do so, we introduce the rules for chaotic bands and the rules for subshrubs, as well as the transformation rules that allow us to interchange them ...
G. Pastor +4 more
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