ON A BICOMPLEX DISTANCE ESTIMATION FOR THE TETRABROT

DOI10.1142/S0218127405013873zbMath1093.37507MaRDI QIDQ5474338

Étienne Martineau, Dominic Rochon

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

bicomplex numbersdistance estimationbicomplex dynamicstetrabrot

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (7)

On the convergence of multicomplex M-J sets to the Steinmetz hypersolids ⋮ Generalization of 3D Mandelbrot and Julia sets ⋮ Characterization of the principal 3D slices related to the multicomplex Mandelbrot set ⋮ ON THE ALGEBRAIC FOUNDATION OF THE MANDELBULB ⋮ Unnamed Item ⋮ Tricomplex Distance Estimation for Filled-In Julia Sets and Multibrot Sets ⋮ ITERATION OF QUADRATIC MAPS ON MATRIX ALGEBRAS

Cites Work

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• A GENERALIZED MANDELBROT SET FOR BICOMPLEX NUMBERS
• A bloch constant for hyperholomorphic functions
• Complexified clifford analysis
• On a Generalized Fatou-Julia Theorem

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