ITERATION OF QUATERNION MAPS

DOI10.1142/S0218127495000661zbMath0885.58068OpenAlexW2002332726MaRDI QIDQ4374626

S. Bedding, Keith M. Briggs

Publication date: 4 February 1998

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

Full work available at URL: https://doi.org/10.1142/s0218127495000661

zbMATH Keywords

regularityiterationquaternionsMandelbrot set

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)

Related Items (18)

The generalized M-J sets for bicomplex numbers ⋮ On the convergence of multicomplex M-J sets to the Steinmetz hypersolids ⋮ Generalization of 3D Mandelbrot and Julia sets ⋮ ON THE ALGEBRAIC FOUNDATION OF THE MANDELBULB ⋮ Basins of attraction for a quadratic coquaternionic map ⋮ Imaginary scators quadratic mapping in 1+2D dynamic space ⋮ Dynamics of the coquaternionic maps \(x^2 + \mathsf{b}x\) ⋮ A GENERALIZED MANDELBROT SET FOR BICOMPLEX NUMBERS ⋮ Symbolic dynamics in investigation of quaternionic Julia sets ⋮ The inverse iteration method for Julia sets in the 3-dimensional space ⋮ Imaginary Scators Bound Set Under the Iterated Quadratic Mapping in 1 + 2 Dimensional Parameter Space ⋮ The general quaternionic M-J sets on the mapping \(z\leftarrow z^{\alpha}+c \, (\alpha \in \mathbf N)\) ⋮ QUATERNION DYNAMICS AND FRACTALS IN ℝ⁴ ⋮ DYNAMICS OF A FAMILY OF QUADRATIC MAPS IN THE QUATERNION SPACE ⋮ ON A GENERALIZED FATOU–JULIA THEOREM IN MULTICOMPLEX SPACES ⋮ On a Generalized Fatou-Julia Theorem ⋮ ITERATION OF QUADRATIC MAPS ON MATRIX ALGEBRAS ⋮ Iteration of Quadratic Maps on Coquaternions

This page was built for publication: ITERATION OF QUATERNION MAPS