ITERATION OF QUATERNION MAPS
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Publication:4374626
DOI10.1142/S0218127495000661zbMath0885.58068OpenAlexW2002332726MaRDI QIDQ4374626
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
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)
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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
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