Moiré interferences in the map of orbits of the Mandelbrot set

DOI10.1016/J.CNSNS.2016.06.016zbMath1473.37057OpenAlexW2486555111MaRDI QIDQ2004836

Pedro María Alcover

Publication date: 7 October 2020

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

Full work available at URL: http://hdl.handle.net/10317/8501

zbMATH Keywords

Mandelbrot setspace-time discretizationMoiré patternsreal numbers discretization

Mathematics Subject Classification ID

Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Related Items (4)

Fractal diffusion patterns of periodic points in the Mandelbrot set ⋮ Emergent scalar symmetry in discrete dynamical systems ⋮ Cause and origin of Moire interferences in recursive processes and with fixed-point and floating-point data types ⋮ A NEW STABLE INTERNAL STRUCTURE OF THE MANDELBROT SET DURING THE ITERATION PROCESS

Cites Work

• A Mathematical Theory of Communication
• Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems
• The theory of the Moiré phenomenon. Vol. 2: Aperiodic layers.
• Hash function construction based on time average moiré
• The theory of the Moiré phenomenon. Volume I: Periodic layers
• Ten Lectures on Wavelets
• Deterministic Nonperiodic Flow
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