Cause and origin of moire interferences in recursive processes and with fixed-point and floating-point data types

Alcover-Garau, Pedro-María

doi:10.1016/j.cnsns.2019.104995

Communications in Nonlinear Science and Numerical Simulation

2020

DOI: 10.1016/j.cnsns.2019.104995

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Cause and origin of moire interferences in recursive processes and with fixed-point and floating-point data types

Pedro-María Alcover-Garau

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Cited by 2 publications

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A New Stable Internal Structure of the Mandelbrot Set During the Iteration Process

2021

Fractals

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In 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. In addition, the influences of the number of initial iteration points and computational accuracy on this structure are investigated. The results show that the new internal structure is stable no matter how the computational accuracy and the number of initial iteration points change. However, the boundaries of subsets of the Mandelbrot set are sensitive to the computational accuracy. This finding reveals the true convergence structure of the Mandelbrot set during numerical simulations, which differs from the theoretical convergence point distribution. Thus, it helps us further understand the convergence mechanism of the Mandelbrot set.

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A New Stable Internal Structure of the Mandelbrot Set During the Iteration Process

2021

Fractals

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Emergent scalar symmetry in discrete dynamical systems

Alcover-Garau¹

2024

DCDS-B

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Cause and origin of moire interferences in recursive processes and with fixed-point and floating-point data types

Cited by 2 publications

References 34 publications

A New Stable Internal Structure of the Mandelbrot Set During the Iteration Process

A New Stable Internal Structure of the Mandelbrot Set During the Iteration Process

Emergent scalar symmetry in discrete dynamical systems

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