TRICOMPLEX DYNAMICAL SYSTEMS GENERATED BY POLYNOMIALS OF ODD DEGREE

DOI10.1142/S0218348X17500268zbMath1371.28025arXiv1511.02249MaRDI QIDQ5363865

Pierre-Olivier Parisé, Dominic Rochon

Publication date: 2 October 2017

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02249

zbMATH Keywords

3D fractalsgeneralized Mandelbrot setsmulticomplex numberstricomplex dynamicsmultibrothyperbrot

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (6)

Cross-sections of the multicorns ⋮ Characterization of the principal 3D slices related to the multicomplex Mandelbrot set ⋮ Generalized fuzzy Mandelbrot and Mandelbar sets ⋮ Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics ⋮ Cross-sections of multibrot sets ⋮ Tricomplex Distance Estimation for Filled-In Julia Sets and Multibrot Sets

Cites Work

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• A study of dynamics of the tricomplex polynomial \(\eta ^p+c\)
• The generalized M-J sets for bicomplex numbers
• Symmetries of fractals
• Symmetries of fractals revisited
• A GENERALIZED MANDELBROT SET FOR BICOMPLEX NUMBERS
• The ‘‘mystery’’ of the quadratic Mandelbrot set
• Multicomplex hyperfunctions
• ON A GENERALIZED FATOU–JULIA THEOREM IN MULTICOMPLEX SPACES
• On a Generalized Fatou-Julia Theorem

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