Results 31 to 40 of about 2,419 (215)
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, 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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Journal of Forecasting, EarlyView.ABSTRACT This paper adopts a bivariate Markov‐switching multifractal (BMSM) model to reexamine comovement in SV between commodity, foreign exchange (FX), and stock markets. After the 2007–2008 global financial crisis understanding volatility linkages and the correlation structure between these markets becomes very important for risk analysts, portfolio
Ruipeng Liu +3 more
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New Key Exchange Protocol Based on Mandelbrot and Julia Fractal Sets. [PDF]
, 2007 In this paper, we propose a new cryptographic key exchange protocol based on Mandelbrot and Julia Fractal sets. The Fractal based key exchange protocol is possible because of the intrinsic connection between the Mandelbrot and Julia Fractal sets. In the
Alia, Mohammad Ahmad +3 more
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Homeomorphisms between limbs of the Mandelbrot set [PDF]
, 2011 We prove that for every hyperbolic component of the Mandelbrot set, any two limbs with equal denominators are homeomorphic so that the homeomorphism preserves periods of hyperbolic components.
Dzmitry Dudko, Dierk Schleicher
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Julia sets and the Mandelbrot set [PDF]
, 2013 Educação Superior::Ciências Exatas e da Terra::MatemáticaEach Julia set on the right corresponds to a quadratic polynomial of the form f(z)=z²+c. You can use the locator to choose the complex number c from the picture of the Mandelbrot set on the left ...
McClure, Mark
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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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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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On the Evolution of the Stock Market Efficiency: Evidence From Emerging Markets
International Studies of Economics, EarlyView.ABSTRACT The study of market efficiency is one of the most covered topics in the field of financial markets, with the Efficient Market Hypothesis gathering devotees as well as several critics. The perception of markets as agents with an adaptive nature gave rise to the Adaptive Market Hypothesis (AMH).
Júlio Lobão, Luís Pacheco, Nuno Cruz
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