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Research on Fractal Image Compression Algorithm Based on Generalized Mandelbrot Set
2023 5th International Conference on Communications, Information System and Computer Engineering (CISCE), 2023The traditional fractal coding algorithm is based on the local self-similarity of image coding, but the coding speed is slow, which restricts its popularization and application.
Peng Li, Ziwei Guan, Junyan Cao, F. Hang
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Mandelbrot set and Julia sets of fractional order
Nonlinear dynamics, 2022In this paper, the fractional-order Mandelbrot and Julia sets in the sense of q -th Caputo-like discrete fractional differences, for $$q\in (0,1)$$ q ∈ ( 0 , 1 ) , are introduced and several properties are analytically and numerically studied.
Marius-F. Danca, Michal Feckan
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Efficient Computation of Mandelbrot Set Generation with Compute Unified Device Architecture (CUDA)
2022 6th International Conference on Informatics and Computational Sciences (ICICoS), 2022Compute Unified Device Architecture (CUDA) is one of the standards for interfaces in parallel programming implemented into NVIDIA's GPUs. GPU (Graphics Processing Unit) is a processor of many smaller, more specialized cores.
Vandicco Maris Siregar +6 more
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Fractals, 2020
The time series plot of electricity daily load demand is seasonal as shown by its regular repetitive pattern during the same period each year. Its behavior is determined by phase-space diagrams that are able to identify any of the following states of the
Héctor A. TABARES-OSPINA +2 more
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The time series plot of electricity daily load demand is seasonal as shown by its regular repetitive pattern during the same period each year. Its behavior is determined by phase-space diagrams that are able to identify any of the following states of the
Héctor A. TABARES-OSPINA +2 more
semanticscholar +1 more source
A NEW STABLE INTERNAL STRUCTURE OF THE MANDELBROT SET DURING THE ITERATION PROCESS
, 2020In this paper, we focus on the periodic points during the iteration process to understand the convergence characteristics of the Mandelbrot set. A new internal structure of the Mandelbrot set is obtained.
Dakuan. Yu, Wurui Ta
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3D RENDERING OF THE QUATERNION MANDELBROT SET WITH MEMORY
FractalsIn this paper, we explore the quaternion equivalent of the Mandelbrot set equipped with memory and apply various visualization techniques to the resulting [Formula: see text]-dimensional geometry.
Ricardo Fariello +2 more
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Pseudo-monodromy and the Mandelbrot set
Transactions of the American Mathematical SocietyWe investigate the discontinuity of codings for the Julia set of a quadratic map. To each parameter ray, we associate a natural coding for Julia sets on the ray.
Yutaka Ishii, Thomas Richards
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A First Course in Chaotic Dynamical Systems, 2018
The code below is used to generate a Mandelbrot set. It takes as arguments the real and imaginary parts (cx, cy) of the complex number c, and returns (minus) the number of iterations that the map takes to escape (in practice to get to |z| > 2, because ...
R. Devaney
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The code below is used to generate a Mandelbrot set. It takes as arguments the real and imaginary parts (cx, cy) of the complex number c, and returns (minus) the number of iterations that the map takes to escape (in practice to get to |z| > 2, because ...
R. Devaney
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Mathematics and Computers in Simulation, 2023
Muhammad Tanveer, W. Nazeer, K. Gdawiec
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Muhammad Tanveer, W. Nazeer, K. Gdawiec
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