QUATERNION M SET WITH NONE ZERO CRITICAL POINTS

DOI10.1142/S0218348X09004569zbMath1183.28017MaRDI QIDQ5189996

Yuan-Yuan Sun, Xing-Yuan Wang

Publication date: 11 March 2010

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

Julia setsmultiple critical pointsfractalquaternionMandelbrot sets

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (5)

Generalized quaternion M sets and Julia sets perturbed by dynamical noises ⋮ A SHORT NOTE ON THE BOUNDEDNESS ANALYSIS AND CONTROL OF THE SPATIAL FRACTAL SET FROM A KIND OF CHAIN COUPLING LOGISTIC TYPE MAP ⋮ Julia sets and Mandelbrot sets in Noor orbit ⋮ Transcendental Picard-Mann hybrid Julia and Mandelbrot sets ⋮ Orbit trap rendering methods for generating colorful symmetric images in three-dimensional space

Cites Work

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• Generalization of the Mandelbrot set: quaternionic quadratic maps
• How to work with one-dimensional quadratic maps
• Computation with hypercomplex numbers.
• Symbolic dynamics in investigation of quaternionic Julia sets
• The general quaternionic M-J sets on the mapping \(z\leftarrow z^{\alpha}+c \, (\alpha \in \mathbf N)\)
• A GENERALIZED MANDELBROT SET FOR BICOMPLEX NUMBERS
• GENERALIZED MANDELBROT SETS FOR MEROMORPHIC COMPLEX AND QUATERNIONIC MAPS

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