GENERATION OF 3D JULIA SETS FROM SWITCHING POLYNOMIAL MAPS

DOI10.1142/S0218348X09004363zbMath1184.37042OpenAlexW2076473142WikidataQ121614694 ScholiaQ121614694MaRDI QIDQ3637995

Chun-Biao Gan, Jianrong Tan, Jin Cheng

Publication date: 14 July 2009

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x09004363

zbMATH Keywords

Julia setrotation symmetry groupswitching polynomial map

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

• Generalization of 3D Mandelbrot and Julia sets
• Generalization of the Mandelbrot set: quaternionic quadratic maps
• 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
• On a Generalized Fatou-Julia Theorem
• GENERALIZED MANDELBROT SETS FOR MEROMORPHIC COMPLEX AND QUATERNIONIC MAPS

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