ITERATION OF QUADRATIC MAPS ON MATRIX ALGEBRAS

DOI10.1142/S0218127412501507zbMath1270.37021MaRDI QIDQ2843589

No author found.

Publication date: 23 August 2013

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

zbMATH Keywords

matrix dynamicsiterated interval mapsnoncommuting attractive cycles

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (4)

Basins of attraction for a quadratic coquaternionic map ⋮ Dynamics of the coquaternionic maps \(x^2 + \mathsf{b}x\) ⋮ Imaginary Scators Bound Set Under the Iterated Quadratic Mapping in 1 + 2 Dimensional Parameter Space ⋮ Iteration of Quadratic Maps on Coquaternions

Cites Work

• Unnamed Item
• 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
• Matrix Analysis
• On the dynamics of polynomial-like mappings
• ITERATION OF QUATERNION MAPS
• On a Generalized Fatou-Julia Theorem
• GENERALIZED MANDELBROT SETS FOR MEROMORPHIC COMPLEX AND QUATERNIONIC MAPS
• DYNAMICS OF A FAMILY OF QUADRATIC MAPS IN THE QUATERNION SPACE
• ON A BICOMPLEX DISTANCE ESTIMATION FOR THE TETRABROT
• Dynamics in One Complex Variable. (AM-160)

This page was built for publication: ITERATION OF QUADRATIC MAPS ON MATRIX ALGEBRAS