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

DOI10.1016/j.cnsns.2019.104995zbMath1470.65038OpenAlexW2971672815WikidataQ127287417 ScholiaQ127287417MaRDI QIDQ2205417

Pedro María Alcover Garau

Publication date: 20 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.104995

zbMATH Keywords

Mandelbrot setspace-time discretizationfixed-point representationfloating-point representationmoire patternssource/hyperbolic points

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Related Items (2)

Emergent scalar symmetry in discrete dynamical systems ⋮ A NEW STABLE INTERNAL STRUCTURE OF THE MANDELBROT SET DURING THE ITERATION PROCESS

Uses Software

• Mulprec

Cites Work

• A study on the numerical convergence of the discrete logistic map
• Do numerical orbits of chaotic dynamical processes represent true orbits?
• What good are numerical simulations of chaotic dynamical systems?
• On the analysis of pseudo-orbits of continuous chaotic nonlinear systems simulated using discretization schemes in a digital computer
• Stochastic degradation of the fixed-point version of 2D-chaotic maps
• Moiré interferences in the map of orbits of the Mandelbrot set
• Detecting unreliable computer simulations of recursive functions with interval extensions
• The theory of the Moiré phenomenon. Volume I: Periodic layers
• Numerical Computing with IEEE Floating Point Arithmetic
• Discrete or Continuous?
• Benoît B. Mandelbrot (1924–2010)
• THE FRACTAL GEOMETRY OF THE MANDELBROT SET 2: HOW TO COUNT AND HOW TO ADD
• Numerical Methods in Scientific Computing, Volume I
• A First Course in Discrete Dynamical Systems
• Control-Theoretic Forward Error Analysis of Iterative Numerical Algorithms
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